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Consider a sequence {an }with a1=2 and a...

Consider a sequence `{a_n }with a_1=2 and a_n=(a_(n-1)^ 2)/(a_(n-2))` for all `ngeq3,` terms of the sequence being distinct. Given that `a_1 and a_5` are positive integers and`a_5lt=162` then the possible value(s) of `a_5` can be (a) 162 (b) 64 (c) 32 (d) 2

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Determine the 12th term of a G.P. whose 8th term is 192 and common rat...

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  3. Consider a sequence {an }with a1=2 and an=(a(n-1)^ 2)/(a(n-2)) for all...

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  4. Which of the following can be terms of any A.P.? a. 1,6,19 b. sqr...

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  5. x, x + 3, x + 9 are first three terms of a G.P. Find the value of x.

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  6. Each question has four choices a,b,c and d out of which only one is...

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  7. Find the sum of the following A.P.s : (i)1/15, 1/12, 1/10, … to 11 ter...

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  8. Find the value of x such that, (i) -2/7, x, -7/2 are three consecutiv...

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  9. Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...

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  10. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

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  11. The value of sum(i=1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of ...

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  12. The sum of 0. 2+0.004+0. 00006+0. 0000008+... to oo is a.(200)/(891) ...

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  14. The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)...

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  15. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

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  16. Find the value of p, given that the line y/2 = x – p passes through th...

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  17. If tn denotes the nth term of the series 2+3+6+11+18+...then t(50)...

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  18. The number of positive integral ordered pairs of (a ,b) such that 6,a ...

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  19. Let a ,b >0, let 5a-b ,2a+b ,a+2b be in A.P. and (b+1)^2, a b+1,(a-1)^...

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  20. The difference between the sum of the first k terms of the series ...

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