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The fifth term of a p …

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The fifth term of a p is 26 and its 10th term is 51 find a p
  • 2 answers

??Geetha Sree ?? 5 years, 10 months ago

U can't get the whole A.P until n is mentioned. I don't understand why people answer for 15th term of the A.P.

Yogita Ingle 5 years, 10 months ago

A5 = 26
a + 4d = 260........... (1)
a10 = 51
a + 9d = 51...............(2)

Subtracting eq.(i) from eq.(ii) we get
d = 5
putting d = 5 in eq.(i) we get
a + 4(5) = 26
a + 20 = 26
a = 6
a15 = a + 14d
a15 = 6 + 14(5)
a15 = 6 + 70
a15 = 76
Hence the 15th term of the AP is 76.

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