Advertisements
Advertisements
प्रश्न
Which term of the A.P. 4, 9, 14, ... is 254?
उत्तर
In the given problem, we are given an A.P and the value of one of its term.
We need to find which term it is (n)
So here we will find the value of n using the formula, `a_n = a + (n - 1)d`
Here, A.P is 4, 9, 14
`a_n = 245`
a = 4
Now
Common difference (d) = `a_1 = a`
= 9 -4
= 5
Thus, using the above mentioned formula
`a_n = a + (n -1)d`
`254 = 4 + (n - 1)d`
254 - 4 = 5n - 5
250 + 5 = 5n
`n = 255/5`
n = 51
Thus n = 51
Therefore 254 is the 51 th term of given A.P
APPEARS IN
संबंधित प्रश्न
Choose the correct choice in the following and justify:
30th term of the AP: 10, 7, 4, ..., is ______.
In the following APs, find the missing term in the box:
2, `square`, 26
Find the next five terms of the following sequences given by
a1 = a2 = 2, an = an−1 − 3, n > 2
The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.
The first term of an A.P. is 5 and its 100th term is -292. Find the 50th term of this A.P.
The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.
Find:
(ii) the 35th term of AP 20,17,14,11,..........
How many terms are there in the AP 6,1 0, 14, 18, ….., 174?
Justify whether it is true to say that the following are the nth terms of an AP.
2n – 3
The 4th term from the end of the AP: –11, –8, –5, ..., 49 is ______.
