Sequences And Series — Mathematics

Test your limits with our Elite Pro-Vault Questions for mathematics

Question 1
MediumJEE

The minimum value of 4x+4(1−x)foranyrealnumberx4^x + 4^(1-x) for any real number x is:

A. 4
B. 2
C. 8
D. 1
Question 2
EasyJEE

The sum of the infinite geometric progression 1 + 1/3 + 1/9 + 1/27 + ... is:

A. 3/23/2
B. 2
C. 4/34/3
D. Infinity
Question 3
MediumJEE

For |x| < 1, the sum to infinity of theseries1+2x+3x2+4x3+...the series 1 + 2x + 3x² + 4x³ + ... is:

A. 1/(1−x)21/(1-x)²
B. 1/(1−x)1/(1-x)
C. x/(1−x)2x/(1-x)²
D. 1/(1+x)21/(1+x)²

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