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CBSE Class 10 Answered

Five terms are in AP their sum is 15 the ratio of product of their extremes to the product of second and fourth terms is 55:7 find the AP    
Asked by rakshithkumar94494 | 10 Mar, 2019, 06:17: AM
answered-by-expert Expert Answer
Let the 5 terms in A.P. are   (a-2d), (a-d), a, (a+d), (a+2d)
 
sum of all the terms = 5a = 30  , hence  a = 6
 
given : begin mathsize 12px style fraction numerator open parentheses a minus 2 d close parentheses open parentheses a plus 2 d close parentheses over denominator open parentheses a minus d close parentheses open parentheses a plus d close parentheses end fraction space equals space fraction numerator a squared space minus space 4 d squared over denominator a squared minus d squared end fraction space equals 55 over 7 end style ................................(1)
Substituting a = 6 in eqn.(1), we get begin mathsize 12px style fraction numerator 36 space minus 4 d squared over denominator 36 space minus space d squared end fraction space equals space 55 over 7 end style ......................(2)
 
solving eqn.(2), we get d = 8
 
Hence A.P. is :  -10, -2, 6, 14, 22
Answered by Thiyagarajan K | 10 Mar, 2019, 08:12: AM
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