Advertisements
Advertisements
प्रश्न
Find:
the 18th term of the AP `sqrt(2), sqrt (18), sqrt(50), sqrt(98)`,...........
उत्तर
The given AP is `sqrt(2), sqrt (18), sqrt(50), sqrt(98)`,...........
This can be re-written as `sqrt(2), 3 sqrt(2) ,5 sqrt(2) ,7 sqrt(2),.........`
First term, a =`sqrt(2)`
Common difference, d = 3 `sqrt(2) - sqrt(2) = 2 sqrt(2)`
nth term of the AP an = a +(n-1) d = `sqrt(2) + (n-1) xx 2 sqrt(2)`
∴ 18th term of the AP a18 = `sqrt(2) +(18-1) xx 2 sqrt(2) = sqrt(2) = sqrt(2) + 34 sqrt(2) = 35 sqrt(2) = sqrt(2450) `
APPEARS IN
संबंधित प्रश्न
In the following APs, find the missing term in the boxes:
`-4, square, square, square, square, 6`
Which term of the A.P. 21, 42, 63, 84, ... is 420?
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.
A man saved Rs. 32 during the first year, Rs 36 in the second year and in this way he increases his saving by Rs 4 every year. Find in what time his saving will be Rs. 200.
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,…………
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each .
(iii)-1 `, (-5)/6 , (-2)/3 , (-1)/2 ............`
If the nth term of a progression is (4n – 10) show that it is an AP. Find its
(i) first term, (ii) common difference (iii) 16 the term.
If Sn.., the sum of first n terms of an AP is given by Sn =3n2- 4n, find the nth term.
If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP.
How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
