Advertisements
Advertisements
प्रश्न
Choose the correct alternative answer for the following question .
The sequence –10, –6, –2, 2,...
पर्याय
is an A.P.,Reason d = -16
is an A.P Reason d = 4
is an A.P.,Reason d = -4
is not an A.P.
उत्तर
The given sequence is –10, –6, –2, 2,...
Here,
First term (a) = a1 = –10
Second term = a2 = –6
Third term = a3 = –2
Common difference (d) = a2 – a1 = –6 – (–10) = 4
= a3 – a2 = –2 – (–6) = 4
Since, a2 – a1 = a3 – a2
Thus, the given sequence is an A.P.
संबंधित प्रश्न
How many terms of the A.P. 27, 24, 21, .... should be taken so that their sum is zero?
If the mth term of an A.P. is 1/n and the nth term is 1/m, show that the sum of mn terms is (mn + 1)
If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
If the sum of the first n terms of an AP is 4n − n2, what is the first term (that is, S1)? What is the sum of the first two terms? What is the second term? Similarly, find the 3rd, the 10th, and the nth terms.
If (m + 1)th term of an A.P is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.
Which term of the AP `20, 19 1/4 , 18 1/2 , 17 3/4 ` ,..... is the first negative term?
The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is ( a + l ).
Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
Find the A.P. whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.
If the sum of a certain number of terms starting from first term of an A.P. is 25, 22, 19, ..., is 116. Find the last term.
Find the sum of all 2 - digit natural numbers divisible by 4.
If `4/5` , a, 2 are three consecutive terms of an A.P., then find the value of a.
The sum of first n odd natural numbers is ______.
If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
The first three terms of an A.P. respectively are 3y − 1, 3y + 5 and 5y + 1. Then, y equals
Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.
How many terms of the A.P. 24, 21, 18, … must be taken so that the sum is 78? Explain the double answer.
In a ‘Mahila Bachat Gat’, Sharvari invested ₹ 2 on first day, ₹ 4 on second day and ₹ 6 on third day. If she saves like this, then what would be her total savings in the month of February 2010?
A merchant borrows ₹ 1000 and agrees to repay its interest ₹ 140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 10. Find the amount of the first instalment