1 3 6-,8,.. to 17 terms. 2 Find the sum of the series 5- 4 (A) 163– (В) 263 2 1 (C) 363! 2 1 (D) 463- 2-

Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: For the series 2 + (-4) + 8 + (-16) + … a1 =  r =  The sum of the first 7 terms, S7, =

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Q: {21} s² +4 9-1 3 (28+5)³ 2} ₁-55

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Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

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Q: Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n - 3. How many terms are there in the sequence?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (d) p+3 E (3k2 – 2k + 1). k=-2 (e) р-1 E (3k? – 2k + 1). k=-2

A: Solution:

Q: 3 (4 3 (4 Σ 4 k=1 7 9.

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Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: Rewrite 1/2(x-5) +1/4(x-5)2 +1/6(x-5)3  +1/8(x-5)4 using summation notation.

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Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

Q: After the seventh month of a 12-months loan: The numerator…

A: Given, n=7 Numerator= (n+11)+(n+10)+(n+9)+(n+8)+(n+7)+(n+6)+(n+5) Denominator= (n)+(n+1)+...+(n+11)

Q: Select all sequences that will contain infinitely many square numbers. А. а, — п В. а, — 4n + 1 C.…

A: We have to check which of the given sequence contains infinitely many square numbers. (A) Given an=n…

Q: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: 6. Algebraically find the sum 63 – 70 + 78 – 85 + 93 – 100 + + 2268 ...

A: Given: A finite series 63-70+78-85+93-100+...+2268 It can be observed that the series is of the form…

Q: Find the number of terms of the series 5, 8, 11,... of which the sum is 1025

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: a. a₁ = 1, a2 = 2, an=2an 1+3an 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Suppose young Gauss had been asked to compute the sum 6 + 12 + 18 + 24 + ... + 1,494 + 1,500 1. How…

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Q: Use the approach in Gauss problem to find the sum of 8+17+26+35+...+890

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