Advertisements
Advertisements
Question
Find n if the nth term of the following A.P. is 68
5, 8, 11, 14, ..........
Solution
Given that
a = 5, d = 3, `t_n = 68`
`t_n = a + (n-1)d`
68 = 5 + (n -1)3
63 = (n-1)3
n -1 = 21 ⇒ n = 22
RELATED QUESTIONS
Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.
The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34th term
(c) ‘n’ such that tn = 55
For an A.P. t3 = 8 and t4 =12, find the common difference d.
The 16th term of an A.P. is five times its third term. If its 10th term is 41, then find the sum of its first fifteen terms.
In the following situation, involved make an arithmetic progression? and why?
The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
2, 4, 8, 16 …
Find next two terms of an A.P.
4, 9, 14, ......
Show that the sequence defined by an = 3n2 − 5 is not an A.P
How many terms are there in the A.P.?
`-1, 5/6, 2/3, 1/2,.....10/3`
Find the sum of all multiples of 7 lying between 500 and 900.
Find the common difference of the A.P. and write the next two terms 75, 67, 59, 51, ...
Define an arithmetic progression.
First term a and common difference d are given below. Find the corresponding A.P.
a = 5, d = 6
First term a and common difference d are given below. Find the corresponding A.P.
a = `3/4`, d = `1/2`
If nine times ninth term is equal to the fifteen times fifteenth term, show that six times twenty fourth term is zero
Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ......
If p, q, r and s are in A.P. then r - q is ______.
Verify that the following is an AP, and then write its next three terms.
`5, 14/3, 13/3, 4,...`
Which term in the A.P. 60, 56, 52, 48, 44, 40, ...... is the first negative term?
The sum of the squares of five consecutive natural numbers is 1455. Find the numbers.