Asked by Manpreet
An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference.
Answers
Answered by
Steve
10/2 (2a+9d) = 220
Now, the odd terms are
a, a+2d, a+4d, ...
So they form a 5-term AP whose common difference is 2d, and whose sum is
5/2 (2a+4(2d)) = 100
Now you can find a and d.
Now, the odd terms are
a, a+2d, a+4d, ...
So they form a 5-term AP whose common difference is 2d, and whose sum is
5/2 (2a+4(2d)) = 100
Now you can find a and d.
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