Advertisements
Advertisements
प्रश्न
Verify that the following is an AP, and then write its next three terms.
`0, 1/4, 1/2, 3/4, ...`
उत्तर
Here,
a1 = 0
a2 = `1/4`
a3 =`1/2`
a4 = `3/4`
a2 – a1 = `1/4 - 0 = 1/4`
a3 – a2 = `1/2 - 1/4 = 1/4`
a4 – a3 = `3/4 - 1/2 = 1/4`
Since, difference of successive terms are equal,
Hence, `0, 1/4, 1/2, 3/4,...` is an AP with common difference `1/4`
Therefore, the next three term will be,
a5 = a1 + 4d
= `0 + 4(1/4)`
= 1
a6 = a1 + 5d
= `0 + 5(1/4)`
= `5/4`
a7 = a1 + 6d
= `0 + 6/4`
= `3/2`
APPEARS IN
संबंधित प्रश्न
The 13th term of an A.P. is four times its 3rd term. If its 5th term is 16, then find the sum of its first ten terms.
For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P?
Find the nth term of the A.P. 13, 8, 3, −2, ...
Find a30 − a20 for the A.P.
a,a + d, a + 2d, a + 3d, ...
Find n if the given value of x is the nth term of the given A.P.
`5 1/2, 11, 16 1/2, 22, ......; x = 550`
is the Consider the expression an = 2n − 1, AP .
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
12, 52, 72, 73, ...
The nth term of an A.P. is given by an = 3 + 4n. The common difference is ______.
|
Case Study Push-ups are a fast and effective exercise for building strength. These are helpful in almost all sports including athletics. While the push-up primarily targets the muscles of the chest, arms, and shoulders, support required from other muscles helps in toning up the whole body.
|
- Form an A.P representing the number of push-ups per day and hence find the minimum number of days he needs to practice before the day his goal is accomplished?
- Find the total number of push-ups performed by Nitesh up to the day his goal is achieved.
Which term in the A.P. 60, 56, 52, 48, 44, 40, ...... is the first negative term?
