Advertisements
Advertisements
Question
Find the indicated terms in each of the following sequences whose nth terms are:
`a_n = (3n - 2)/(4n + 5)`; `a_7 and a_8`
Solution
Here, we are given the nth term for various sequences. We need to find the indicated terms of the A.P.
`a_n = (3n - 2)/(4n + 5)`
We need to find `a_7` and `a_8`
Now to find `a_7` term we use n = 7 we get
`a_7 = (3(7) - 2)/(4(7) + 5)`
`= (21 -2)/(28 + 5)`
`= 19/33`
Also to find `a_8` term we use n = 8 we get
`a_8 = (3(8) -2)/(4(8) + 5)`
`= (24 - 2)/(32 + 5)`
`= 22/37`
Thus `a_7 = 19/33` and `a_8 = 22/37`
APPEARS IN
RELATED QUESTIONS
Two APs have the same common difference. The difference between their 100th term is 100, what is the difference between their 1000th terms?
Find the indicated terms in each of the following sequences whose nth terms are
an = n (n −1) (n − 2); a5 and a8
Find the 10th term from the end of the A.P. 8, 10, 12, ..., 126.
Find the number of terms of the AP 18, `15``1/2` 13, ….., `49``1/2` and find the sum of all its terms n?
20th term of the AP -5, -3, -1, 1, is ______.
The nth term of an A.P. 5, 2, -1, -4, -7 … is ______.
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be ______.
Fill in the blank in the following table, given that a is the first term, d the common difference, and an nth term of the AP:
| a | d | n | an |
| ______ | -3 | 18 | -5 |
Determine the 36th term of the A.P. whose first two terms are –3 and 4 respectively.
Which term of the A.P. : 65, 61, 57, 53, .............. is the first negative term?
