Advertisements
Advertisements
प्रश्न
Write the first three terms of the APs when a and d are as given below:
a = `1/2`, d = `-1/6`
उत्तर
Given that,
First term (a) = `1/2`
and common difference (d) = `-1/6`
∵ nth term of an AP,
Tn = a + (n – 1)d
∴ Second term of an AP,
T2 = a + d
= `1/2 - 1/6`
= `2/6`
= `1/3`
and third term of an AP,
T3 = a + 2d
= `1/2 - 2/6`
= `1/2 - 1/3`
= `(3 - 2)/6`
= `1/6`
Hence, required three terms are `1/2, 1/3, 1/6`.
APPEARS IN
संबंधित प्रश्न
Find the sum of n terms of the series `(4 - 1/n) + (4 - 2/n) + (4 - 3/n)+ ......`
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 12th term from the end of the following arithmetic progressions:
3, 8, 13, ..., 253
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.
The 17th term of AP is 5 more than twice its 8th term. If the 11th term of the AP is 43, find its nth term.
Find the number of terms in the A.P.: 18, `15 1/2, 13, ...., -47.`
The 10th term of the sequence `sqrt3, sqrt12, sqrt27;...` is ______.
Which term of the AP: 27, 24, 21, ……… is zero?
The next term of the AP `sqrt18, sqrt50, sqrt98, ....` is ______.
How many natural numbers are there between 1 and 1000 which are divisible by 5 but not by 2?
