Advertisements
Advertisements
प्रश्न
Write the nth term of an A.P. the sum of whose n terms is Sn.
उत्तर
We are given an A.P. the sum of whose n terms is Sn. So, to calculate the nth term of the A.P. we use following formula,
an = Sn - Sn-1
So, the nth term of the A.P. is given by an = Sn - Sn-1 .
APPEARS IN
संबंधित प्रश्न
The sum of the first p, q, r terms of an A.P. are a, b, c respectively. Show that `\frac { a }{ p } (q – r) + \frac { b }{ q } (r – p) + \frac { c }{ r } (p – q) = 0`
Find the sum of first 20 terms of the sequence whose nth term is `a_n = An + B`
If the sum of first m terms of an AP is ( 2m2 + 3m) then what is its second term?
What is the sum of first n terms of the AP a, 3a, 5a, …..
The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the A.P.
The sum of first n terms of an A.P. is 3n2 + 4n. Find the 25th term of this A.P.
A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find:
- the production in the first year.
- the production in the 10th year.
- the total production in 7 years.
Find the sum of first 10 terms of the A.P.
4 + 6 + 8 + .............
If the third term of an A.P. is 1 and 6th term is – 11, find the sum of its first 32 terms.
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.
