Question

The explicit formula for the nth term of an arithmetic sequence is an=a1+(n-1)*d. What is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference between terms in the sequence is 5?

Answer 1

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

Given that first term = -10 and the difference is 5


`T_n = -10 + 5(n - 1)`


`T_n = -10 + 5n - 5`


`T_n = 5n - 15`