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Find the first four terms of the sequence whose first term is 1 and whose (n+1)t h term is obtained by subtracting n from its nth term.

The fourth term of an A.P. is equal to 3 times the first term, and the seventh term exceeds twice the third term by 1. Find the first term and the common difference.

There is a certain sequence of positive real numbers. Beginning from the third term, each term of the sequence is the sum of all the previous terms. The seventh term is equal to 1000 and the first term is equal to 1 . The second term of this sequence is equal to

4th term of an A.P. is equal to 3 times its first term and 7th term exceeds twice the 3rd term by 1. Find the first term and the common difference.

The term ''New Systematics'' was introduced by

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

Term new systematics was introduced by

If the sum of the first n terms of an AP is 4n-n^2 , what is the first term (that is S_1 )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms.

If the sum of the first n terms of an AP is 4n-n^2 , what is the first term (that is S_1 )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms.