Advertisements
Advertisements
प्रश्न
Find the nth term and hence find the 8th term of the following H.P.s:
`1/5, 1/10, 1/15, 1/20`, ...
उत्तर
`1/5, 1/10, 1/15, 1/20`, ... are in H.P.
5, 10, 15, 20, … are in H.P.
∴ a = 5, d = 5
tn = a + (n – 1)d
= 5 + (n – 1)(5)
= 5n
∴ nth term of H.P. = `1/(5"n")`
∴ 8th term of H.P. = `1/(5(8)) = 1/40`.
APPEARS IN
संबंधित प्रश्न
Verify whether the following sequence is H.P.:
`1/3, 1/5, 1/7, 1/9`, ...
Verify whether the following sequence is H.P.:
`1/3, 1/6, 1/9, 1/12`, ...
Verify whether the following sequence is H.P.:
`1/7, 1/9, 1/11, 1/13, 1/15`, ...
Find the nth term and hence find the 8th term of the following H.P.s:
`1/2, 1/5, 1/8, 1/11`, ...
Find the nth term and hence find the 8th term of the following H.P.s:
`1/4, 1/6, 1/8, 1/10`, ...
Insert two numbers between `1/7 and 1/13` so that the resulting sequence is a H.P.
Verify whether the following sequence is H.P.
`1/3, 1/5, 1/7, 1/9, ...`
Verify whether the following sequence is H.P.
`1/3, 1/6, 1/12, 1/24, ...`
Find the nth term and hence find the 8th term of the following H.P.s :
`1/2, 1/5, 1/8, 1/11, ...`
Find the nth term and hence find the 8th term of the following H.P.s:
`1/5, 1/10, 1/15, 1/20, ...`
Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5` respectively.
Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`
Select the correct answer from the given alternative.
The G.M.of two numbers exceeds their H.M. by `6/5`, the A.M. exceeds G.M. by `3/2` the two numbers are ...
If x = `sum_(n = 0)^∞a^n`, y = `sum_(n = 0)^∞b^n`, z = `sum_(n = 0)^∞c^n` where a, b , c are in A.P. and |a| < 1, |b| < 1, |c| < 1 then x, y, z are in ______.
