Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP:
$a$ | $d$ | $n$ | $a_n$ |
____ | $-3$ | 18 | $-5$ |
"
Given:
$d=-3, n=18, a_{n}=-5$
To do:
We have to fill in the blank.
Solution:
$d=-3, n=18, a_{n}=-5$
We know that,
$a_{n}=a+(n-1) d$
$-5=a+(18-1)(-3)$
$-5=a-51$
$a=-5+51$
$a=46$
Related Articles
- Fill in the blanks in the following table, given that a is the first term, $d$ the common difference and $a_n$ the nth term of the AP:"
- In an AP, if the common difference $(d) = –4$, and the seventh term $( a_{7})$ is 4, then find the first term.
- In an A.P., the first term is 22, nth term is $-11$ and the sum to first n terms is 66. Find n and d, the common difference.
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = -2, d = 0$
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = 4, d = -3$
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = -1.25, d = -0.25$
- The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.
- Find The first four terms of an AP, whose first term is $–2$ and the common difference is $–2$.
- In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences.
- 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 AP is \( -5 \) and the last term is 45 . If the sum of the terms of the AP is 120 , then find the number of terms and the common difference.
- The sum of the 5th term and the 9th term of an \( \mathrm{AP} \) is 30 and the 25th term of the \( \mathrm{AP} \) is three times the 8th term. Find that AP.
- The sum of the first \( n \) terms of an AP whose first term is 8 and the common difference is 20 is equal to the sum of first \( 2 n \) terms of another AP whose first term is \( -30 \) and the common difference is 8 . Find \( n \).
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = -1, d = \frac{1}{2}$
- The 17th term of an AP exceeds its 10th term by 7. Find the common difference.
Kickstart Your Career
Get certified by completing the course
Get Started