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The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.
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  • A 175
  • B 85
  • C 64
  • D 45
Correct Answer: Option C
Explanation:
a + 3d = 13
a + 9d = 31
6d = 18
= d = 3
a = 13 - 9
= 4
a + 20d = 4 + (20 x 3)
= 64

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