Sequence and Series - Algebra -Multiple Correct Type Questions(JEE ADVANCED)

 Q.1

Correct Answer is:A,B
Solution Explain:

an+1 = an2 + an = an(an + 1)









Q.2

Correct Answer is:A,C
Solution Explain:








Q.3

Correct Answer is:A,B,D
Solution Explain:









Q.4

Correct Answer is:C,D
Solution Explain:










Q.5

Correct Answer is:B,D
Solution Explain:





Q.6

Correct Answer is:A,B,C
Solution Explain:








Q.7

Correct Answer is:A,D
Solution Explain:









Q.8

Correct Answer is:C,D
Solution Explain:









Q.9

Correct Answer is:A,B
Solution Explain:








Q.10

Correct Answer is:A,B,C
Solution Explain:

If p, q, r are in A.P., then pth, qth and rth terms are equal distant terms which are always in the same series of which they are terms










Q.11

Correct Answer is:C
Solution Explain:

21,22,23,.......k-1,k

⇒k=21.λ2, Î» ∈ 1 also 100 ≤ k ≤ 999 and k should be odd
⇒100/21 ≤ Î»2 ≤ 999/21 ⇒4.76 ≤ Î»47.57
⇒λ=3,4,5,6 but Î» should be odd ⇒ odd  Î»=3,5
⇒'k' can assume 2 different values








Q.12

Correct Answer is:D
Solution Explain:








Q.13

Correct Answer is:A,B
Solution Explain:





Q.14

Correct Answer is:A,D
Solution Explain:

a1 + a3 + a5 = -12
a + a + 2d + a + 4d = -12 (d > 0)
a + 2d = -4
a1a3a= 80
a(a + 2d) (a + 4d) = 80
or
(-4 -2d) (-4 +2d)= -20  ⇒ d = ± 3
Since A.P. is increasing, so d = + 3; a = -10, hence,
   





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