Advertisements
Advertisements
प्रश्न
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : `sqrt(2), sqrt(8), sqrt(18), sqrt(32)`,...
उत्तर
`sqrt(2), sqrt(8), sqrt(18), sqrt(32)`,...
⇒ `sqrt(2), 2sqrt(2), 3sqrt(2), 4sqrt(2)`,...
Here, first term (a) = `sqrt(2)`
and common difference (d)
= `2sqrt(2) - sqrt(2) = sqrt(2)`
= `3sqrt(2) - 2sqrt(2) = sqrt(2)`
= `4sqrt(2) - 3sqrt(2) = sqrt(2)`
∵ The common difference is same
∵ It is an A.P.
and next three terms are
`sqrt(50), sqrt(72), sqrt(98)`,...
APPEARS IN
संबंधित प्रश्न
The nth term of a sequence is (2n – 3), find its fifteenth term.
Find the 24th term of the sequence:
12, 10, 8, 6, .......
How many terms are there in the series 0.5, 0.53, 0.56, ........, 1.1?
4th term of an A.P. is equal to 3 times its first term and 7th term exceeds twice the 3rd term by 1. Find the first term and the common difference.
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : `2, (5)/(2), 3, (7)/(2)`,...
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : 12, 32, 52, 72,...
The nth term of an Arithmetic Progression (A.P.) is 2n + 5. The 10th term is ______.
The 24th term of an A.P. exceeds its 19th term by 10, its common difference is ______.
Ten times the 10th term of an A.P. is equal to twenty times the 20th term of the same A.P. The 30th term of this A.P. is ______.
The 40th term of an A.P. exceeds its 16th term by 72. Then its common difference is ______.
