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19. Arithmetic Progressions
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Q5 of 167 Page 19

Which term of the sequence is the first negative term?




We know, an = a + (n – 1)d where a is first term or a1 and d is common difference and n is any natural number






Now, to find first negative term


Put an < 0







⇒ n > 33


Hence, 34th term is first negative term of given A.P


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4

Is 68 a term of the A.P. 7, 10, 13,…?

4

Is 302 a term of the A.P. 3, 8, 13,…?

5

Which term of the sequence 12 + 8i, 11 + 6i, 10 + 4i, … is (a) purely real (b) purely imaginary ?

6

How many terms are in A.P. 7, 10, 13,…43?

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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