Justify whether it is true to say that the given is the nth term of an AP  1+n+n2

Q: It is possible to find two integers whose multiplication is -4 and whose summation is 0. Select one:…

A: Sum of 2 and -2 is 0 and multiplication of 2 and -2 is -4. So, given statement is true. Sum of 3 and…

Q: following figure:

A: The given two angles ∠COD and ∠EOD have common vertex O and common arm OD

Q: Find a reduction formula for ∫sinnxdx, n≥2.

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Q: What is the degree of each term in the expansion of (x+5y)^21 ?

A: The dree of the term is the sum of the powers of the variable.  Note that the binomial expansion of…

Q: a) Determine the fourth term in the following expansion (x + 3y)° 5r)5

A: The posted question has multiple questions. But according to guidelines we will solve the first…

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: Let N = 7^11. Find the remainder of dividing 8^N by 13.

A: We have N=711 Since 711=1977326743 So we can write 8N=81977326743 We can write it as…

Q: When P(x) is divided by (x-1), the remainder is 3. When P(x) is divided by (x+1), the remainder is…

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Q: then you will get r = If you rationalize the denominator of S= where r, s, and n are all positive…

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Q: Simplify the ratio of factorials (3n + 1)! / (3n)!

A: The given expression is:

Q: If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th…

A: Introduction :

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

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Q: what number must be a added to each term of the ratio 3:5 to makes if 11:12

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Q: Find the exact value of 1sin (14°) 2 + 1cos (4°)2 - 3.

A: Consider the given expression: sin14°2+cos14°2−3Use the trigonometric identity:sin2θ+cos2θ=1

Q: Find AC. -у + 23 B by бу + 2 Al

A: As per guideline , one question at a time:

Q: Show that n2-1 is division by 8, if n is an odd positive integer

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Q: term 9 of the expressions (x³ - 1/x)¹⁴ is given by a) 3003x¹⁰ b)-2002x⁶ c ) 3003x⁶ d) -3432x¹⁴

A: given that  x3- 1x14a) 3003x10b) -2001 x6c) 3003 x6d) -3931 x14to find 9th term of the…

Q: The fourteenth term is 2 /3 , and the ninth term is 1 /4 . Find the  first term and the nth term.

A: Given, a14=23a9=14 We know that, an=a+n-1d, where an is the nth term, a is the first term and d is a…

Q: the sol SO =-1 is

A:

Q: which fraction is expressed in simplest form?  1. x-1/x2-2x+1 2. x-1/x2-1 3. x-1/x2+1 4.…

A: The right answer is x-1/x2+1 Because it already present in simplest form so we can't convert it into…

Q: Simplify the ratio of factorials (4n + 1)! /(4n + 3)!

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Q: find the nth term of 1/2, 1/4, 1/6, ... , n = 7

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Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: Find the formula for the nth term of the arithmetic sequ 3, 6, 9, ... an ||

A: Given arithmetic sequence is The first term of the sequence is a=3  and common difference is…

Q: ind the length of side x in simplest radical form with a rational denominato 45° 45 V3

A: By using trigonometry ratio, we find the value of 'x'.

Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

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Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: Show by induction that 4 divides 2m^2 +6m for an integer m>0

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Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

Q: Find the term of (a – 2b)3 that has b in it. |

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Q: Find the 20th term in the expansion of (a + b)22.

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Q: find the fourth term in the expansion of  (x +  1   9…

A: Recall the fact that the general term of expansion ( a + b )n is as follows.

Q: Find the indicated term of each 49. sixth term of (4h - j)8

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Q: How a single interpretation is possible for μ1 – μ2?

A: The parameter of interest is the difference in population means, μ1 - μ2. Where, μ1 and μ2 are the…

Q: 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 a4 as b.…

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Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

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Q: Find the 6th term in the expansion of (a + b)^7 in simplest form.

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Q: You should enter the coefficients of the powers of x of the sum in the boxes. 7(-2x? – 9x – 7) – 7…

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Q: Al. a. Find an integer that leaves a remainder of 2 when divided by either 3 or 5, but that is…

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Q: 22. Find the quotient and the remainder for each of the followir x3-4x2+2x+5 1) x-2 4x3-2x2-3 2)…

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Q: Determine a closed form expression for Enxh n>0

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Q: The mathematical sentence for the nth term of number 4 is

A: Here the given number is 4. Since each term is constant and equal to 4. Therefore, the nth term of…

Q: 6. If x is any positive integer, which one of the following terms could be added to the sum of 2x +…

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Q: Find the expression of 1/(2+5x)3 , magnitude of 5x/2 < 1, in ascending powers of x up to and…

A: Compare as expansion of (1+x)^n

Q: Find thenumber of terms common to the two A.P'

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Q: is ' (3n– 1)? n=1

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Q: ss the following as a factorial: 6 x 5 x 4 x 3x 2 x

A: The factorial function tells us to multiply all whole numbers down to 1 from the selected number.

Q: Simplify the ratio of factorials. (4n + 1)! (4n + 3)!

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.