Test: Logical Series - CLAT MCQ

A geometric progression (GP) is a series where each term is multiplied successively by a number in order to obtain the next term. The quotient of two consecutive terms is always the same and is known as the common ratio (r). For example, the series 2, 6, 18, 54,... is a geometric progression with a common ratio of 3 (each term is obtained by multiplying the previous term by 3). This is different from an arithmetic progression (AP), where each term is obtained by adding a constant value to the previous term.

The given series is an arithmetic progression (AP), where each term increases by a constant value known as the common difference. In this case, the common difference is 8 - 3 = 5. So, the correct choice is Option B.

In an arithmetic progression (AP), the n-th term is given by [a + (n - 1)d]. Here, the 7th term is 27, and the common difference (d) is 4. We can find the first term (a) by rearranging the formula: a = 27 - (7 - 1) * 4 = 27 - 6 * 4 = 27 - 24 = 3. So, the correct choice is Option A.