Advertisements
Advertisements
Question
In an AP, if d = –4, n = 7, an = 4, then a is ______.
Options
6
7
20
28
Solution
In an AP, if d = –4, n = 7, an = 4, then a is 28.
Explanation:
We know that nth term of an AP is
an = a + (n – 1)d
Where,
a = first term
an is nth term
d is the common difference
According to the question,
4 = a + (7 – 1)(– 4)
4 = a – 24
a = 24 + 4 = 28
APPEARS IN
RELATED QUESTIONS
Find the number of terms in the following A.P.: 7, 13, 19, ..., 205.
Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?
Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?
Write the first five terms of the following sequences whose nth terms are:
`a_n = 3^n`
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.
If Sn denotes the sum of the first n terms of an A.P., prove that S30 = 3 (S20 − S10) ?
If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP.
The 4th term from the end of the AP: –11, –8, –5, ..., 49 is ______.
Determine the A.P. whose third term is 5 and the seventh term is 9.
In an A.P., the first term is 12 and the common difference is 6. If the last term of the A.P. is 252, then find its middle term.