Advertisements
Advertisements
प्रश्न
Check whether the following sequence is in A.P.
`(-1)/3, 0, 1/3, 2/3, ...`
उत्तर
`(-1)/3, 0, 1/3, 2/3, ...`
t2 – t1 = `0 - (- 1/3)`
= `0 + 1/3 = 1/3`
t3 – t2 = `1/3 - 0 = 1/3`
t2 – t1 = t3 – t2
The sequence is in A.P.
APPEARS IN
संबंधित प्रश्न
The sum of three numbers in A.P. is 12 and sum of their cubes is 288. Find the numbers.
In an AP of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P.
The nth term of a sequence is 3n – 2. Is the sequence an A.P. ? If so, find its 10th term
Find the 12th , 24th and nth term of the A.P. given by 9, 13, 17, 21, 25, ………
For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k − 1 form an AP?
In a theatre, there are 20 seats in the front row and 30 rows were allotted. Each successive row contains two additional seats than its front row. How many seats are there in the last row?
The ratio of 6th and 8th term of an A.P. is 7:9. Find the ratio of 9th term to 13th term
In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.
Which of the following form an AP? Justify your answer.
–1, –1, –1, –1,...
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.