n 4 37 an 45 606 Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.Part A: What is the first term, a1, of

Question

0

638

1

n

4

37

an

45

606

Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

Part A: What is the first term, a1, of the sequence?

Part B: What is the general term equation, an, for this sequence?

Part C: What is the value of the 13th term of this sequence?

Guest Feb 27, 2018

CPhill · Answer 1 · 2018-02-27T11:21:13

a₄ = 37

a₄₅= 606

We have 45 - 4 = 41 terms between these

So.....d =

[606 - 37 ] / 41 = 569 / 41

The first term is

37 - 3(569/41) = -190/41

The general equation is

a_n = -190/41 + (569/41(n - 1)

The 13th term is

a₁₃ = 6638 / 41