Advertisements
Advertisements
प्रश्न
For the following APs, write the first term and the common difference:
3, 1, –1, –3, ...
उत्तर
3, 1, -1, -3, …
Here, first term (a) = 3
and the common difference (d)
= -3 - (-1)
= -2
d = -2
APPEARS IN
संबंधित प्रश्न
The 14th term of an A.P. is twice its 8th term. If its 6th term is -8, then find the sum of its first 20 terms.
The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is 1 less than twice its 8th term, find the AP.
For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P?
The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:
(A) –3
(B) 4
(C) 5
(D) 2
Find the common difference of an AP, whose first term is 5 and the sum of its first four terms is half the sum of the next four terms
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
`3, 3 + sqrt2, 3 + 2sqrt2, 3 + 3sqrt2`
Write the arithmetic progressions write the first term a and common difference d is as follows:
a = -1.5, d = -0.5
Prove that no matter what the real numbers a and b are, the sequence with the nth term a + nb is always an A.P. What is the common difference?
Write the sequence with nth term:
an = 3 + 4n
Write the sequence with nth term an = 6 − n
The first term and the common difference of an A. P. is 10,000 and
2000 resectively. Find the sum of first 12 terms of the A.P.
How many three digit numbers are divisible by 7?
First term a and common difference d are given below. Find the corresponding A.P.
a = 5, d = 6
Choose the correct alternative answer for the following sub-question
Find t3 = ? in an A.P. 9, 15, 21, 27, ...
Find a and d for an A.P., 1, 4, 7, 10,.........
If the common difference of an AP is 3, then a20 - a15 is ______.
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs 400.
Which of the following form an AP? Justify your answer.
2, 22, 23, 24,...
If d = – 5, n = 10, an = 68, then find the first term.
If k + 2, 4k – 6 and 3k – 2 are three consecutive terms of an A.P., then the value of k is ______.