The 26th term in the arithmetic sequence: 20, 26, 32, 38, ... is 170
Given:
20, 26, 32, 38, ...
- nth term of an arithmetic sequence is given by
nth term = a + (n - 1) d
where,
- a = first term
- d = common difference
- n = nth term
20, 26, 32, 38, ...
a = 20
d = 26 - 20
= 6
- 26th term = a + (n - 1) d
= 20 + (26 - 1) 6
= 20 + (25) 6
= 20 + 150
= 170
Therefore, the 26th term in the arithmetic sequence is 170
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