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19. Arithmetic Progressions
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Q14 of 167 Page 20

Mark the correct alternative in the following:

In n arithmetic means are inserted between 1 and 31 such that the ratio of the first mean and nth mean is 3 : 29, then the value of n is


Let a=1;b=31


Let a1,a2,a3,…an be the n A.M’s between 1 and 31


Then, common difference is given by





Now,





And





Now, given that







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12

Mark the correct alternative in the following:

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


13

Mark the correct alternative in the following:

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are


15

Mark the correct alternative in the following:

Let denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by , then k =


16

Mark the correct alternative in the following:

The first and last term of an A.P. are a and l respectively. If S is the sum of all terms of the A.P. and the common difference is given by , then k =


Questions · 167
19. Arithmetic Progressions
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