Question

Find A1Q1 if Q11 = -3 and d = 2.

Answer 1

EXPLANATION

Given the sequence where a_11=-3 and d=2

This is an arithmetic sequence with the following equation:

`a_n=a_1+(n-1)d`

Replacing terms:

`-3=a_1+(11-1)\cdot2`

Removing the parentheses:

`-3=a_1+10\cdot2`

Multiplying numbers:

`-3=a_1+20`

Subtracting -20 to both sides:

`-3-20=a_1`
`-23=a_1`

The answer is a_1=-23