A.G.P
Trending Questions
Q. If |x| < 1, then the sum of the series 1 + 2x + 3x2 + 4x3 + ....... ∞ will be
- 11−x
- 11+x
- 1(1+x)2
- 1(1−x)2
Q. The nth term of an Arithmetic geometric progression is given by [a+(n−1)d]brn−1
- False
- True
Q. 1+32+522+723+....∞ is equal to
[DCE 1999]
[DCE 1999]
- 3
- 6
- 9
- 12
Q. The sum of infinite terms of the following series 1+45+752+1053+....... will be
[MP PET 1981; RPET 1997; Roorkee 1992; DCE 1996, 2000]
[MP PET 1981; RPET 1997; Roorkee 1992; DCE 1996, 2000]
- 316
- 358
- 354
- 3516
Q. If (10)9+2(11)1(10)8+3(11)2(10)7+……+10(11)9=k(10)9, then k is equal to
- 100
- 12110
- 441100
- 110
Q.
If p, q, r are in A.P. and x, y, z are in G.P. then xq−r.yr−p.zp−q is equal to
1
xyz
p+q+r
x+y+z
Q. The sum to infinite terms of the series
1+23+632+1033+1434⋯ is
1+23+632+1033+1434⋯ is
- 3
- 4
- 6
- 2
Q. The sum of the series 1+2.2+3.22+4.23+5.24+⋯+100.299 is
- 99.2100−1
- 100.2100
- 99.2100
- 99.2100+1
Q. If S=∞∑n=02n+33n then, the value of S is equal to
Q. If 1+2x+3x2+4x3+⋯+∞≥4, (|x|<1), then
- least value of x is 12
- greatest value of x is 43
- least value of x is 23
- greatest value of x deos not exist