If the sum of n terms of an A. P. be 3n² - n and its common difference is 6, then its first term is ______________

(a)

2

(b)

3

(c)

1

(d)

4

The series 1+4x+8x² + \(\frac { 32 }{ 3 } { x }^{ 3 }+.....+\infty \ is\) ______________

(a)

e^x

(b)

e^4x

(c)

e^2x

(d)

e^8x

The Co-efficient of x³ in \(\sqrt { \frac { 1-x }{ 1+x } } ,\left| x \right| <1\ is\ \)______________

(a)

\(\frac { 1 }{ 2 } \)

(b)

\(\frac { 3 }{ 8 } \)

(c)

\(\frac { -3 }{ 8 } \)

(d)

\(\frac {- 1 }{ 2 } \)

\(\frac{2}{1!}+\frac{4}{3!}+\frac{6}{5!}+. . .\infty =\) ______________

(a)

e

(b)

2e

(c)

\(\frac{1}{e}\)

(d)

e²

2^1/4 4^1/8 8^1/16 16^1/32 . . . = ______________

(a)

1

(b)

2

(c)

\(\frac{3}{2}\)

(d)

\(\frac{5}{2}\)