the first term of an A.P is -2 and the 10th term is 16. What is its 15th term
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Answer:
15th term of AP is 26
Step by step explanation:
Given:
- First term of AP, a is -2
- 10th term of AP, a10 is 16
To find:
- 15th term of AP, a15
Solution:
To find the required term of AP, firstly we have to find the common difference of AP.
→ a10 = 16 (Given)
→ a + 9d = 16
→ -2 + 9d = 16 (a = -2)
→ 9d = 16 + 2
→ 9d = 18
→ d = 18/9
→ d = 2
Now we have formula for nth term of AP ::
★ an = a + (n - 1)d
Substitute value of n = 15 for 15th term
→ a15 = a + (15 - 1)d
Substitute value of a = -2 and d = 2
→ a15 = -2 + ( 14 ) ( 2 )
→ a15 = -2 + 28
→ a15 = 26
So the required 15th term of AP is 26.
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