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ICSE Class 10 Answered

Find five numbers in A.P whose sum is 12 and the ratio of the first to the last terms is 2:3.
Asked by krcraju1973 | 05 Jun, 2019, 07:08: AM
answered-by-expert Expert Answer
12 equals 5 over 2 open parentheses 2 straight a plus open parentheses 4 close parentheses straight d close parentheses
12 equals 5 open parentheses straight a plus 2 straight d close parentheses.... open parentheses 1 close parentheses
first space term space equals straight a
last space term left parenthesis 5 th right parenthesis equals straight a plus 5 straight d
fraction numerator straight a over denominator straight a plus 4 straight d end fraction equals 2 over 3
3 straight a equals 2 straight a plus 8 straight d
straight a equals 8 straight d.... sub space in space left parenthesis 1 right parenthesis
12 equals 5 open parentheses 8 straight d plus 2 straight d close parentheses
12 over 5 equals 10 straight d
straight d equals 6 over 25
straight a equals 48 over 25
48 over 25 comma 54 over 25 comma 12 over 5 comma 66 over 25 comma 72 over 25
Answered by Arun | 05 Jun, 2019, 03:55: PM

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