Use the approach in Gauss's Problem to find the following sums of arithmetic sequences. a. 1+2+3+4+...+1002 b. 1+3+5+7+...+999 c. 8+17+26+35+...+908 d. 685 +678 +671+664+ +6

Q: Let (an)nzo be a sequence defined by an=n2²+5

A: The given sequence is an=n2n+5. We have to find the closed formula for the first difference of the…

Q: What are the next two numbers of this sequence 9, 16, 23, ___, ____ and what is an expression for…

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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: Use the approach in Gauss’s problem to find the following sums of arithmetic sequences (do not use…

A: To find the sum of the given arithmetic sequence using Gauss's approach.The given sequence is…

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is…

A: it is not permissible by the company to provide personal detail....so sorry for that Given an is…

Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term…

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two…

Q: What is the 9th term of the sequence ªn =(−1)²”(n − 10), a

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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: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: What is the sum of the sequence E(1+k!) R-0

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Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

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: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each…

A: Substitute 0 and 1 in the given expression to obtain the values of C and D,

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: Find all sequences which are simultaneously A.P. and G.P.

A: Given data is: Find all sequences which are simultaneously A.P and G.P

Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: sequences, in the form t(n) = a(b)" b) 3, -18, 108, –648, .. equation

A: We will look each term closely to find the explicit equation for the sequence.

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b)…

A: Find your answer below

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: If P= 8+10+12+14+...+108 and Q=4+6+8+10...+106 are sums of arithmetic sequences, determine which is…

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Q: Use the approach in Gauss's Problem to find the following sums of arithmetic sequences.…

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