Four terms in AP have sum 28. Product of the extreme terms and that of middle terms are in ratio 5:6 .find the largest term
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2
Answer:
The largest term is 10.
Step-by-step explanation:
The sum of four terms in AP is 28.
A sum of 28 means that essentially all 4 numbers are equal to 7 each.
Since,
The product of 1st and 4th is different from the product of 2nd and 3rd terms, the common difference must be more than 0.
So,
the numbers could be 4, 6, 8, 10 (with 7 as the mean) when the common difference is more than 0 but least possible (assuming integers)
Product of 1st and 4th = 40
Product of 2nd and 3rd = 48
Ratio of above numbers = 5:6 (what we wanted)
Hence, the largest term is 10.
Answered by
1
Answer:
the largest term is 28.hope it helps....
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