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19. Arithmetic Progressions
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Q3 of 167 Page 19

Insert 7 A.M.s between 2 and 17.

Let A1, A2, A3, A4, A5, A6, A7 be the 7 AM Between 2 And 17


Then, 2, A1, A2, A3, A4, A5, A6, A7, 17 are in AP


We know,


An = a + (n - 1)d


A9 = 17 = 2 + (9 - 1)d



hence,









More from this chapter

All 167 →
1

Find the A.M. between:

(i) 7 and 13 (ii) 12 and - 8 (iii) (x - y) and (x + y)

2

Insert 4 A.M.s between 4 and 19.

4

Insert six A.M.s between 15 and - 13.

5

There are n A.M.s between 3 and 17. The ratio of the last mean to the first mean is 3 : 1. Find the value of n.

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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