Question

GIven the first five terms of the sequence 19, 15, 11, 7, 3...,
use the subscript notation to desribe a7
.(1 point)
Responses

a7=−4
A sub 7 is equal to negative 4

a7=−5
A sub 7 is equal to negative 5

a7=−9
A sub 7 is equal to negative 9

a7=−1

Answer 1

we know that a_5 = 3, so a_7 = 3-8 = -5

Answer 2

A sub 7 is equal to negative 1

Answer 3

Yes, you are correct. Using the equation a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference, we can calculate a_7 as follows:

a_n = a_1 + (n-1)d
a_7 = a_1 + (7-1)d
a_7 = a_1 + 6d
a_7 = 19 + 6(-4) [since d = -4 based on the common difference in the sequence]
a_7 = 19 - 24
a_7 = -5

Therefore, a_7 = -5. Thank you for the correction.