Advertisements
Advertisements
प्रश्न
Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.
Find the first term of the given sequence:
tn = 3n ‒ 4
उत्तर
The general formula for the nth term of an arithmetic progression (A.P.) is given by:
tn = 3n – 4
For n = 1,
t1 = 3 × 1 – 4
= 3 – 4
= –1
For n = 2,
t2 = 3 × 2 – 4
= 6 – 4
= 2
Hence, the first two terms of the sequence are –1 and 2.
APPEARS IN
संबंधित प्रश्न
State whether the following sequence is an AP or not: 1, 3, 6, 10………
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.
If the seventh term of an AP is 1/9 and its ninth term is 1/7, find its 63rd term.
If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero
If the nth term of an AP is (2n + 1) then find the sum of its first three terms
Write first four terms of the A.P. when the first term a and the common difference d are given as follows:
`a = -1, d = 1/2`
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 ….
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
0, -4, -8, -12, …
State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......
Find the common difference and write the next four terms of each of the following arithmetic progressions:
1, −2, −5, −8, ...
Find the common difference and write the next four terms of each of the following arithmetic progressions:
`-1, 1/4, 3/2 .....`
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
12, 2, −8, −18, ...
Find a30 − a20 for the A.P.
−9, −14, −19, −24, ...
The angles of a quadrilateral are in A.P. whose common difference is 10°. Find the angles.
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 ?
Find the sum of all multiples of 7 lying between 500 and 900.
The ratio of 6th and 8th term of an A.P. is 7:9. Find the ratio of 9th term to 13th term
Choose the correct alternative answer for the following sub question.
In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______
1, 7, 13, 19 ...... find 18th term of this A.P.
Which of the following form an AP? Justify your answer.
–1, –1, –1, –1,...
