Sum of the first 12 terms of an AS is 240. Then the sum of its first term and 12th term is
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Answer:
if a is the 1st term and bis the common difference then
12/2(2a+11b)=240
2a+11b=240×2/12=40
sum of 1st term and 12th term is
a +a+(12-1)b
=a+a+11b
=2a+11b=40
Answered by
0
ANSWER:
Then the sum of its first term and 12th term is 40
Step-by-step explanation:
Let the first term of the AP is 'a' and last term is 'l'.
Total number of terms are n( here n=12 given)
REQUIRED FORMULA:
Arithmetic Sum = n/2×(a+l)
From the given condition
12/2×(a+l) = 240
6(a+l)=240
(a+l)=40
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