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Question
Fill in the blank in the following table, given that a is the first term, d the common difference, and an nth term of the AP:
| a | d | n | an |
| -18 | ______ | 10 | 0 |
Solution
| a | d | n | an |
| -18 | 2 | 10 | 0 |
Explanation:
Given that
a = -18, n = 10, an = 0, d = ?
We know that,
an = a + (n - 1) d
0 = -18 + (10 - 1) d
18 = 9d
d = `18/9`
d = 2
Hence, common difference, d = 2
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