Advertisements
Advertisements
Question
Write the first five terms of the following sequences whose nth terms are:
`a_n = (3n - 2)/5`
Solution
`a_n = (3n - 2)/5`
Here, the nth term is given by the above expression. So, to find the first term we use, n =1 we get
`a_1 = (3(1) - 2)/5`
`= 1/5`
Similarly, we find the other four terms,
Second term (n = 2)
``a_2 = (3(2) - 2)/5`
`= (6 - 2)/5`
`= 4/5`
Third term (n = 3)
`a_3 = (3(3) - 2)/5`
`= (9 - 5)/5`
`= 7/5`
Fourth term (n = 4)
`a_4 = (3(4) - 2)/5`
`= (12 - 2)/5`
`= 10/5`
= 2
Fifth term (n = 5)
`a_5 = (3(5) - 2)/5`
`= (15 - 2)/5`
`= 13/5`
Therefore, the first five terms for the given sequence are `a_1 = 1/5, a_2 = 4/5,a_3 = 7/5, a_4 = 2, a_5 = 13/5`
APPEARS IN
RELATED QUESTIONS
In the following APs, find the missing terms in the boxes:
`square, 38, square, square, square, -22`
In an AP, if the common difference (d) = –4, and the seventh term (a7) is 4, then find the first term.
Write the first five terms of the following sequences whose nth term are:
`a_n = (n - 2)/3`
Write the first five terms of the following sequences whose nth terms are:
`a_n = 3^n`
Find the 10th term from the end of the A.P. 8, 10, 12, ..., 126.
Which term of the A.P. 3, 15, 27, 39, ... will be 120 more than its 21st term?
A man saved Rs. 32 during the first year, Rs 36 in the second year and in this way he increases his saving by Rs 4 every year. Find in what time his saving will be Rs. 200.
If the nth term of a progression is (4n – 10) show that it is an AP. Find its
(i) first term, (ii) common difference (iii) 16 the term.
What is the common difference of an AP in which a18 – a14 = 32?
How many natural numbers are there between 1 and 1000 which are divisible by 5 but not by 2?
