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Step2247 [10]
3 years ago
7

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

Mathematics
1 answer:
Leto [7]3 years ago
8 0
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
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