The 7th term of an A.P. is 24 and 13th term is 52 find the A.P.
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Answer:
a₇ => 24
a₇ => a + (7 - 1) d = 24
a₇ => a + 6d = 24 ..(i)
a₁₃ => 52
a₁₃ => a + (13 - 1) d = 52
a₁₃ => a + 12d = 52 ..(ii)
Solving Equation (i) and (ii), we get, (Substracting)
a +12d = 52
a + 6d = 24
- - -
6d = -28
6d = 28
d = 4.66
Hence, d = 4.66 it cannot form an AP.
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