Advertisements
Advertisements
Question
Find next two terms of an A.P.
4, 9, 14, ......
Solution
Given sequence
4, 9, 14, ......
Given sequence is an A.P. with a = 4, d = 5
`t_4 = a+3d = 4+3(5) = 19`
`t_5 = a+4d = 4+4(5) = 24`
APPEARS IN
RELATED QUESTIONS
Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.
The 4th term of an A.P. is zero. Prove that the 25th term of the A.P. is three times its 11th term
If the seventh term of an AP is 1/9 and its ninth term is 1/7, find its 63rd term.
Write the first three terms in each of the sequences defined by the following
an = 3n + 2
Find the 12th , 24th and nth term of the A.P. given by 9, 13, 17, 21, 25, ………
Which term of the sequence 4, 9 , 14, 19, …… is 124 ?
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
2, 4, 8, 16 …
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
12, 32, 52, 72 …
Write the first three terms in the sequences defined by the following
an = n2 + 1
Write the sequence with nth term an = 6 − n
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 3, 3, 3, .....
Find a30 − a20 for the A.P.
−9, −14, −19, −24, ...
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
12, 32, 52, 72, ...
Find the first term and common difference of the Arithmetic Progressions whose nth term is given below
tn = – 3 + 2n
t19 = ? for the given A.P., 9, 4, −1, −6 ........
Activity :- Here a = 9, d = `square`
tn = a + (n − 1)d
t19 = 9 + (19 − 1) `square`
= 9 + `square`
= `square`
In an A.P. t10 = 57 and t15 = 87, then find t21
If (p + q)th term of an A.P. is m and (p - q)th term is n, then pth term is ______.
Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...
Match the APs given in column A with suitable common differences given in column B.
| Column A | Column B |
| (A1) 2, –2, –6, –10,... | (B1) `2/3` |
| (A2) a = –18, n = 10, an = 0 | (B2) –5 |
| (A3) a = 0, a10 = 6 | (B3) 4 |
| (A4) a2 = 13, a4 = 3 | (B4) –4 |
| (B5) 2 | |
| (B6) `1/2` | |
| (B7) 5 |
|
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.
