Find the 12th term of an A.P. from the last term of -2,-4,-6,...,-100
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Answer:
- -78
Explanation:
Given A.P. :-
- -2, -4, -6, ...., -100.
nth term of an A.P. from the last term is given by,
→ I - (n - 1)d
We have,
- last term (I) = -100
- common difference (d) = - 4 - ( - 2) = - 2
- number of terms (n) = 12
Substitute the given values,
→ -100 - (12 - 1)*(-2)
→ - 100 - (11)(-2)
→ - 100 + 22
→ -78
∴ 12th term of the A.P. from the last term is -78.
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