Advertisements
Advertisements
प्रश्न
Find the sum of the following Aps:
i) 2, 7, 12, 17, ……. to 19 terms .
उत्तर
The given AP is 2, 7, 12, 17,………
Here, a= 2 and d = 7 - 2 = 5
Using the formula . `s_n = n/2 [ 2a + (n-1) d] ,`we have
`s_19 = 19/2 [ 2xx2 +(19-1) xx5]`
`= 19/2 xx (4+ 90)`
`= 19/2 xx 94`
= 893
APPEARS IN
संबंधित प्रश्न
The ratio of the sums of m and n terms of an A.P. is m2 : n2. Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1)
In an A.P., the sum of first n terms is `(3n^2)/2 + 13/2 n`. Find its 25th term.
If (2p +1), 13, (5p -3) are in AP, find the value of p.
If the common differences of an A.P. is 3, then a20 − a15 is
There are 25 trees at equal distances of 5 metres in a line with a well, the distance of the well from the nearest tree being 10 metres. A gardener waters all the trees separately starting from the well and he returns to the well after watering each tree to get water for the next. Find the total distance the gardener will cover in order to water all the trees.
If in an A.P. Sn = n2p and Sm = m2p, where Sr denotes the sum of r terms of the A.P., then Sp is equal to
The given terms are 2k + 1, 3k + 3 and 5k − 1. find AP.
If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.
Solve the equation:
– 4 + (–1) + 2 + 5 + ... + x = 437
The sum of n terms of an A.P. is 3n2. The second term of this A.P. is ______.