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Byju's Answer
Standard X
Mathematics
Common Difference
The 7 th term...
Question
The 7th term of an AP is −4 and its 13th term is −6. Find the AP.
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Solution
We have:
T
7
= a + (n - 1)d
⇒ a + 6d = -4 ...(1)
​T
13
= a + (n - 1)d
⇒ a + 12d = -16 ...(2)
On solving (1) and (2), we get:
a = 8 and d = -2
Thus, first term = 8 and common difference = -2
∴ The terms of the AP are 8, 6, 4, 2,...
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