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Given-that-18-24-and-k-14-are-three-consecutive-terms-of-an-arithmetic-progression-Find-a-the-common-difference-b-the-value-of-k-c-the-first-term-if-the-4-th-term-is-12-d-the-sum-of-the-fir

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Question Number 35594 by Rio Mike last updated on 20/May/18
Given that 18,24,and k + 14 are three consecutive terms of an arithmetic progression Find a) the common difference b) the value of k c)the first term if the 4^(th) term is 12. d) the sum of the first twelve terms of the progression.
Giventhat18,24,andk+14arethreeconsecutivetermsofanarithmeticprogressionFinda)thecommondifferenceb)thevalueofkc)thefirsttermifthe4thtermis12.d)thesumofthefirsttwelvetermsoftheprogression.
Answered by tanmay.chaudhury50@gmail.com last updated on 20/May/18
a)c.d=6 b)k+14=30 k=16 c)a+(4−1)×6=12 a=−6 d)s=((12)/2){2×−6+(12−1)×6} =6(−12+66) =6×54 =324
a)c.d=6b)k+14=30k=16c)a+(4−1)×6=12a=−6d)s=122{2×−6+(12−1)×6}=6(−12+66)=6×54=324

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