87.3k views
2 votes
Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9

Find the first term of the arithmetic sequence in which a38= -5 and the common difference-example-1
User Shantia
by
8.0k points

2 Answers

7 votes

Answer: 102.3 Hope that helps




User Khyati Elhance
by
9.0k points
4 votes

Answer:

102.3

Explanation:

a_38 = -5

difference d= -2.9

We use general formula


a_n = a_1 + (n-1)d

WE make the formula for a_38 th term

Plug in 38 for n


a_(38) = a_1 + (38-1)d

Now plug in -2.9 for d and -5 for a_38


-5 = a_1 + (38-1)(-2.9)


-5 = a_1 - 107.3

Now add 107.3 on both sides

102.3 = a_1

option A is correct



User Phodina
by
7.4k points