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2. Sequences and series of real numbers
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Q1 of 110 Page 48

Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.

0.12, 0.24, 0.48,….

(Note: Sequences are in G.P. if they have common ratios


i.e., if


)


Given: a1 = 0.12, a2 = 0.24, a3 = 0.48


Now,




And,




Therefore,



Now, ∵ the ration is same,


⇒ 0.12, 0.24, 0.48, … is a G.P with common ratio = 2


More from this chapter

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19

If a2, b2, c2are in A.P. then show that are also in A.P.

20

If ax = by = cz, x ≠ 0, y ≠ 0, z ≠ 0 and b2 = ac, then show that are in A.P.

1

Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.

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1

Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.

….. .

Questions · 110
2. Sequences and series of real numbers
1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 1 1 1 1 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 1 2 3 4 5 6 7 8 9 10 11 12 1 1 1 1 1 1 2 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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