the sum of first and 21st term of arithmetic sequence is 140.find 11th term
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Eleventh term is 70.
Step-by-step explanation:
Given: sum of first 21st term : 140
To find: 11th term.
Let first and last term be a1 and a2 respectively.
Let d be the number of terms in between first and last term.
Therefore,
a1+ a2= 140
a+ a- 20d= 140
2a - 20d =140
2(a- 10d)= 140
(a-10d)= 140/2
a-10d= 70
a11= a-10d
Hence eleventh term a11 is 70.
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