Question

Find the 27th term of a sequence where the first term is – 7 and the common difference is 7.

Answer 1

Answer:

175


Explanation:

1. an (any term) = 27
2. a1 (first term) = -7
3. d (common difference) = 7

• Use the explicit formula:

an = d(n - 1) + a1

a27 = 7(27 - 1) - 7


- Subtract inside the parenthesis ():

a27 = 7(26) - 7


- Distribute:

a27 = 182 - 7


- Subtract:

a27 = 175