Advertisements
Advertisements
प्रश्न
Write the first five terms of the following sequences whose nth term are:
`a_n = (n - 2)/3`
उत्तर
`a_n = (n - 2)/3`
Given sequence `a_n = (n - 2)`
To write first five terms of given sequence `a_n = (n - 2)/3`
put n = 1, 2, 3, 4, 5 then we get
`a_ 1 = (1 - 2)/3 = (-1)/3; a_2 = (2 - 2)/3 = 0`
`a_3 = (3-2)/3 = 1/3; a_4 = (4 -2)/3 = 2/3`
`a_5 = (5 - 2)/3 = 1`
∴ The required first five terms of given sequence `a_n = (n -2)/3` are `(-1)/3,0,1/3,2/3,1`
APPEARS IN
संबंधित प्रश्न
In the following APs, find the missing terms in the boxes:
`square, 38, square, square, square, -22`
Write the first five terms of the following sequences whose nth terms are:
`a_n = (2n - 3)/6`
Which term of the A.P. 21, 42, 63, 84, ... is 420?
An A.P. consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find the 32nd term.
Which term of the A.P. 3, 15, 27, 39, ... will be 120 more than its 21st term?
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each
(ii) 11, 6, 1, – 4,……..
Find the middle term of the sequence formed by all three-digit numbers which leave a remainder 3, when divided by 4. Also find the sum of all numbers on both sides of the middle term separately ?
The sum of first n terms of an AP is 3n2 + 4n. Find the 25th term of this AP ?
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be ______.
Find the common difference of an A.P. whose nth term is given by an = 6n – 5.
