Simplify by combining the two sums and find an erplicit formula. That is, your answer should not contain any summation sign. Here, n 21 is an integer. 2(10k2 +k-2) – 4(5k2 – k – 1) = k=1 k=1

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: 3η2 + 4. n 1 Σ(5)

A: Given series is

Q: Find a formula for the sum (6k? – 2k + 10). k=1

A: We need to find a formula for the sum ∑k=1n6k2-2k+10. We know that ∑k=1nk2=n(n+1)(2n+1)6 and…

Q: 1+4+9+16+25+36 translate into summation notation

A: It can be rewritten as,

Q: Find the exact value of the following sum:

A: Find the sum of series using telescoping series

Q: 6. (5ai² – 7bi+ 3c) :2 i=4

A: We have to find the sum for the given series.

Q: nd the following sum: 2 + 4 + 6 + 8 + ... + 88 using Gauss' method. Show all ste

A: To find the below sum using the Gauss' method. 2+4+6+8+...+88

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

A: Solution:

Q: Find the sum 80 Σ 5n = n=11

A:

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: Evaluate the series 8 2 (3n – 4) n=1 O Campfire Mocha -1 76 20

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: O Compute the sum Σm=6(4m - 3).

A: The given problem is to compute the sum of the given summation of series. Given {sigma}m=6n (4m-3)

Q: Use the summation notation to rewrite the following expression. 7 (7 − 1³) − (7 − 2³) + (7 − 3³) −…

A:

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

A:

Q: late the following sum (²+3)(6k³-3) k=o (2x² +*²-4k-1) : ember that the sums that have already been…

A: We have to find

Q: Find the e sum of 3+8+ 13+18+r0t l53,

A:

Q: Watch this video on Summation Notation: https://www.youtube.com/watch?v=7Lbh6kxScPs Q4. Find the…

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.