What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?
A. 192
B. 230
C. 102
D. 214
Answer: Option C
Solution(By Examveda Team)
First term of AP = a = -19 and last term = l = 36Number of terms = n = 12
$$\eqalign{ & {\text{Sum of AP}} = \frac{n}{2}\left( {a + l} \right) \cr & = \frac{{12}}{2}\left( { - 19 + 36} \right) \cr & = 17 \times 6 \cr & = 102 \cr} $$
Related Questions on Progressions
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
A. 5
B. 6
C. 4
D. 3
E. 7
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 765
C. 640
D. 680
E. 690
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