is it possible to have more than one arithmetic series with four terms whose sum is 44?
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Answer:
11 eqn-1
Step-by-step explanation:
In an arithmetic progression, the sum of first four terms is 44 and the product of the extreme terms of the arithmetic progression is 140. What is the common difference?
The terms be a-3d,a-d, a+d,a+3d
Sum = 4*a = 44.
a = 11;
Product
( a-3d)(a+3d) = 140
11*11- 9*d*d = 140
d*d = - 19/9.
Negative. No real common difference.
The meaning of ‘ extreme' is important.
The AP has more than four terms.
a,a+d,a+2d,a+3d,….,a+(n-1)d.
Sum condition
4a + 6d = 44
2a + 3d = 11 eqn-1
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