Question

How do you write the first six terms of an arithmetic sequence if the first term a1, is -4, and the common difference, d, is 10?

Answer 1

`a_n=10n-14`.

Taking, `n=1,2,...........,6` we get the answers., e.g., `a_1=-4`

Explanation:

The formula for the general `n^(th)` term `=a_n` of an A.P. with `a_1` as its

first term, and common diff. `d!=0` is given by,

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

`:. a_n=-4+10(n-1)=10n-14`

Taking, `n=1,2,...........,6` we get the answers., e.g., `a_1=-4`