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11. Arithmetic Progression
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Q11 of 102 Page 429

The first and last terms of an AP are 1 and 11 respectively. If the sum of its terms is 36, find the number of terms.

Given: the sum of its terms is 36, the first and last terms of an AP are 1 and 11.


To find: the number of terms


Sum of AP using first and last terms is given by



36 × 2 = n (1 + 11)


n = 6


More from this chapter

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9

If 7th and 13th terms of an AP be 34 and 64 respectively then find its 18th term.

10

What is the 10th common term between the APs 3, 7, 11, 15, 19, … and 1, 6, 11, 16, …?

12

In an AP, the pth term is q and (p + q)th term is 0. Show that its qth term is p.

13

If, find the value of n.

Questions · 102
11. Arithmetic Progression
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
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