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19. Arithmetic Progressions
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Q9 of 167 Page 20

Mark the correct alternative in the following:

If the sum of n terms of an A.P. is 2, then its nth term is


Here, Sn=2n2+5n


∴ S1=2+5=7


∴ a1=S1=7


And S2=2×22+5×2=18


Now,a2=S2-S1=18-7=11


∴ d=a2-a1=11-7=4


Now, an=a1+(n-1)d


=7+(n-1)4


=7+4n-4


=4n+3

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7

Mark the correct alternative in the following:

The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be


8

Mark the correct alternative in the following:

If the sum of n terms of an A.P., is 3 which of its terms is 164?


10

Mark the correct alternative in the following:

If are in A.P. with common difference d, then the sum of the series sin d is


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11

Mark the correct alternative in the following:

In the arithmetic progression whose common difference is non-zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2 n terms to the next 2 n terms is


Questions · 167
19. Arithmetic Progressions
1 2 3 4 4 4 5 6 6 6 6 7 8 1 1 1 2 3 3 3 4 4 5 5 6 6 7 8 9 10 11 12 13 14 15 15 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 1 1 1 1 1 1 1 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 1 2 3 4 4 5 5 5 6 7 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
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