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9. Arithmetic Progressions
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Q3 of 202 Page 9

Is -150 a term of the A.P. ?

a = 11, d = -3

An= a + (n – 1) d


-150 = 11 + (n – 1) (-3)


-150 = 11 – 3n + 3


-150 = 14 – 3n


-164 = 3n


Since, -164 is not divisible by 3


Therefore, -150 isn’t the term of the given A.P.


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3

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4

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5

The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.

Questions · 202
9. Arithmetic Progressions
1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 1 2 2 2 2 2 3 3 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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 1 2 3 4 5 5 5 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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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 32 33 34 35 36 37 38 39 40 41 42
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