Advertisements
Advertisements
Question
Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.
Advertisements
Solution
In the given problem, we need to find the 5th term from the end for the given A.P.
3, 5, 7, 9 …201
Here, to find the 5th term from the end let us first find the common difference of the A.P. So,
First term (a) = 3
Last term (an) = 201
Common difference (d) = 5 - 3 = 2
Now, as we know, the nth term from the end can be given by the formula,
an = l - (n-1) d
So, the 5th term from the end,
a5 = 201 - (5-1)2
= 201 - (4)2
= 201 - 8
= 193
Therefore, the 5th term from the end of the given A.P. is 193 .
APPEARS IN
RELATED QUESTIONS
If the sum of the first n terms of an A.P. is `1/2`(3n2 +7n), then find its nth term. Hence write its 20th term.
The first and the last terms of an AP are 8 and 65 respectively. If the sum of all its terms is 730, find its common difference.
The ratio of the sums of m and n terms of an A.P. is m2 : n2. Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1)
Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nth week, her week, her weekly savings become Rs 20.75, find n.
A contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money does the contractor have to pay as a penalty if he has delayed the work by 30 days.
Three numbers are in A.P. If the sum of these numbers is 27 and the product 648, find the numbers.
Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 2 − 3n.
Divide 24 in three parts such that they are in AP and their product is 440.
If an denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a30 - a20 ).
Find the first term and common difference for the A.P.
127, 135, 143, 151,...
The 19th term of an A.P. is equal to three times its sixth term. If its 9th term is 19, find the A.P.
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P.
Write the value of x for which 2x, x + 10 and 3x + 2 are in A.P.
The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =
If \[\frac{5 + 9 + 13 + . . . \text{ to n terms} }{7 + 9 + 11 + . . . \text{ to (n + 1) terms}} = \frac{17}{16},\] then n =
Q.6
The sum of first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term is `(1)/(3)`. Calculate the first and the thirteenth term.
Determine the sum of first 100 terms of given A.P. 12, 14, 16, 18, 20, ......
Activity :- Here, a = 12, d = `square`, n = 100, S100 = ?
Sn = `"n"/2 [square + ("n" - 1)"d"]`
S100 = `square/2 [24 + (100 - 1)"d"]`
= `50(24 + square)`
= `square`
= `square`
Find the sum of all odd numbers between 351 and 373.
