if a. 7. b,23c are in AP then the value of ‘c’is
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Since a, 7, b, 23 and c are in AR
∴ 7 - a = b - 7 = 23 - b = c - 23 = common difference
I II III IV
Taking second and third terms, we get
b - 7 = 23 - b
⇒ 2b = 30
∴ b = 15
Taking first and second terms, we get
7 - a = b - 7
⇒ 7 - a = 15 - 7
⇒ 7 - a = 8
∴ a = -1
Taking third and fourth terms, we get
23 - b = c - 23
⇒ 23 - 15 = c - 23
⇒ 8 = c - 23
⇒ 8 + 23 = c ⇒ c = 31
Hence, a = -1, b = 15, c = 31
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