Advertisements
Advertisements
Question
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)`,...
Solution
`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
RELATED QUESTIONS
The nth term of a sequence is (2n – 3), find its fifteenth term.
Find the 31st term of an A.P. whose 10th term is 38 and the 16th term is 74.
How many two-digit numbers are divisible by 3?
Find the value of p, if x, 2x + p and 3x + 6 are in A.P.
Which term of A.P 3, 10, 17, .... Will be 84 more than its 13th term?
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,...
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 : a, 2a, 3a, 4a,...
The 7th term of the given Arithmetic Progression (A.P.):
`1/a, (1/a + 1), (1/a + 2)`... is:
The 24th term of an A.P. exceeds its 19th term by 10, its common difference is ______.
The nth term of the A.P. 6, 11, 16, 21, ........ is 106, then the value of n – 4 is ______.
