Advertisements
Advertisements
प्रश्न
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
a, 2a, 3a, 4a …
उत्तर
a, 2a, 3a, 4a …
It can be observed that
a2 − a1 = 2a − a = a
a3 − a2 = 3a − 2a = a
a4 − a3 = 4a − 3a = a
i.e., ak+1 − ak is same every time. Therefore, d = a
The given numbers are in A.P.
Three more terms are
a5 = 4a + a = 5a
a6 = 5a + a = 6a
a7 = 6a + a = 7a
APPEARS IN
संबंधित प्रश्न
State whether the following sequence is an AP or not: 1, 3, 6, 10………
If m times mth term of an A.P. is equal to n times its nth term, then show that (m + n)th term of the A.P. is zero.
In the following situation, involved make an arithmetic progression? and why?
The taxi fare after each km when the fare is ₹ 15 for the first km and ₹ 8 for each additional km.
For the following A.Ps, write the first term and the common difference.
0.6, 1.7, 2.8, 3.9
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
-10, -6, -2, 2 …
Write the next two terms of A.P. whose first term is 3 and the common difference is 4.
The general term of a sequence is given by an = −4n + 15. Is the sequence an A.P.? If so, find its 15th term and the common difference.
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
−225, −425, −625, −825, ...
The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.
Find a30 − a20 for the A.P.
−9, −14, −19, −24, ...
Find n if the given value of x is the nth term of the given A.P.
25, 50, 75, 100, ...; x = 1000
Find n if the given value of x is the nth term of the given A.P.
`1, 21/11, 31/11, 41/11,......, x = 171/11`
The angles of a quadrilateral are in A.P. whose common difference is 10°. Find the angles.
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
a + b, (a + 1) + b, (a + 1) + (b + 1), (a + 2) + (b + 1), (a + 2) + (b + 2), ...
Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
Choose the correct alternative answer for the following sub-question
Find t3 = ? in an A.P. 9, 15, 21, 27, ...
Which of the following form an AP? Justify your answer.
1, 1, 2, 2, 3, 3,...
Which of the following form an AP? Justify your answer.
11, 22, 33,...
Verify that the following is an AP, and then write its next three terms.
`sqrt(3), 2sqrt(3), 3sqrt(3),...`
For an A.P., if a = 7 and d = 2.5 then t12 = ?
