Advertisements
Advertisements
Question
In the following APs, find the missing term in the box:
2, `square`, 26
Solution
2, 14, 26
Explanation:
For this A.P.,
a = 2
a3 = 26
We know that, an = a + (n − 1) d
a3 = 2 + (3 − 1) d
26 = 2 + 2d
24 = 2d
d = 12
a2 = 2 + (2 − 1) 12
= 14
Therefore, 14 is the missing term.
APPEARS IN
RELATED QUESTIONS
In the following APs find the missing term in the box:
`square, 13, square, 3`
Which term of the A.P. 3, 8, 13, 18, ..., is 78?
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the A.P.
Write the first five terms of the following sequences whose nth terms are:
`a_n = (2n - 3)/6`
Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
(i) 9, 15, 21, 27,…………
Find the nth term of the following Aps:
16, 9, 2, -5, …..
How many terms are there in the AP 41, 38, 35, ….,8?
Which term of term of the AP 3,8,13,18,….. is 88?
Divide 56 in four parts in AP such that the ratio of the product of their extremes (1st and 4th) to the product of means (2nd and 3rd) is 5 : 6 ?
The sum of the first n terms of an A.P. is 4n2 + 2n. Find the nth term of this A.P ?
If m times the mth term of an Arithmetic Progression is equal to n times its nth term and m ≠ n, show that the (m + n)th term of the A.P. is zero.
If nth term of an AP is 7 - 4n, then its common difference is ______.
Which term of the AP: 92, 88, 84, 80 … is 0?
In an AP, if d = –4, n = 7, an = 4, then a is ______.
The (n - 1)th term of an A.P. is given by 7, 12, 17, 22,… is ______.
Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20.
How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
Justify whether it is true to say that the following are the nth terms of an AP.
3n2 + 5
The sum of the first three terms of an A.P. is 33. If the product of the first and the third terms exceeds the second term by 29, find the A.P.