AIEEE 2009 | Sequences and Series Question 292 | Mathematics

The first two terms of a geometric progression add up to 12. the sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is

- 4

- 12

AIEEE 2007

MCQ (Single Correct Answer)

-1

In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common ratio of its progression is equals

$${\sqrt 5 }$$

$$\,{1 \over 2}\left( {\sqrt 5 - 1} \right)$$

$${1 \over 2}\left( {1 - \sqrt 5 } \right)$$

$${1 \over 2}\sqrt 5 $$.

AIEEE 2007

MCQ (Single Correct Answer)

-1

Out of Syllabus

The sum of series $${1 \over {2!}} - {1 \over {3!}} + {1 \over {4!}} - .......$$ upto infinity is

$${e^{ - {1 \over 2}}}$$

$${e^{ + {1 \over 2}}}$$

$${e^{ - 2}}$$