Advertisements
Advertisements
Question
Write second and third term of an A.P. whose first term is 6 and common difference is – 3.
Solution
a = 6, d = – 3 .....[Given]
∴ t1 = a = 6
t2 = t1 + d
∴ t2 = 6 + (– 3)
∴ t2 = 6 – 3
∴ t2 = 3
t3 = t2 + d
∴ t3 = 3 + (– 3)
∴ t3 = 3 – 3
∴ t3 = 0
∴ t2 = 3 and t3 = 0
APPEARS IN
RELATED QUESTIONS
Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.
Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.
If m times mth term of an A.P. is equal to n times its nth term, then show that (m + n)th term of the A.P. is zero.
Four numbers are in A.P. If their sum is 20 and the sum of their square is 120, then find the middle terms
For the following A.P.s, write the first term and the common difference:
`1/3, 5/3, 9/3, 13/3` ....
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
-1.2, -3.2, -5.2, -7.2 …
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
-10, -6, -2, 2 …
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
0.2, 0.22, 0.222, 0.2222 ….
Find n if the nth term of the following A.P. is 68
5, 8, 11, 14, ..........
Show that the sequence defined by an = 3n2 − 5 is not an A.P
Find the common difference and write the next four terms of each of the following arithmetic progressions:
`-1, 1/4, 3/2 .....`
Write the expression an- ak for the A.P. a, a + d, a + 2d, ... Hence, find the common difference of the A.P. for which a10 −a5 = 200
In an A.P., if the 12th term is −13 and the sum of its first four terms is 24, find the sum of its first ten terms ?
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
12, 32, 52, 72, ...
Define an arithmetic progression.
Write the two terms of the A.P. 2,5,8,11,...
Choose the correct alternative answer for the following sub question.
In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______
Decide whether the given sequence 2, 4, 6, 8,… is an A.P.
First term and common difference of an A.P. are 1 and 2 respectively; find S10.
Given: a = 1, d = 2
find S10 = ?
Sn = `n/2 [2a + (n - 1) square]`
S10 = `10/2 [2 xx 1 + (10 - 1)square]`
= `10/2[2 + 9 xx square]`
= `10/2 [2 + square]`
= `10/2 xx square = square`
