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In a certain sequence of numbers, each term after the 1 st term is the result of adding 2 to the previous term and multiplying that sum by 3 . If the 4th term in the sequence is 186 , what is the 2 nd term ?

In a sequence of terms, the first term is (-1). Each term thereafter is obtained by multiplying the previous number with (-2). How many of the first 50 terms of the series are less than 50?

A geometrical progression of positive terms and an arithmetical progression have the same first term. The sum of their first terms is 1 , the sum of their second terms is (1)/(2) and the sum of their third terms is 2. Calculate the sum of their fourth terms.

The first term of a sequence is (1)/(2) and the second term is (1)/(4) . Each term thereafter is the sum of the all the terms before it , If the n^(th) term is the first term of the sequence that is an integer , what is the value of n ?

An A.P. and a G.P. of positive terms have the same first term and the sum of their first, second and third terms are respectively, 1, 1/2 and 2. Show that the sum of their fourth terms is 19/2

In sequence S, the 3rd term is 4, the 2nd term is three times the 1st, and the 3rd term is four times the 2nd.What is the 1 st term is sequence S?

The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1:2 . Find the first and 15 t h term of the A.P.

If first term of a GP is a, third term is b and (n+1)th term is c. The (2n+1)th term of a GP is

In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP whose common difference is 2, and the last (2n + 1) terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal, then the middle term of the sequence is