Advertisements
Advertisements
Question
Is the following sequences are A.P.? If is A.P. find the common difference.
0.3, 0.33, 0.333,...
Solution
0.3, 0.33, 0.333,...
Here,
The first term, a1 = 0.3
Second term, a2 = 0.33
Third term, a3 = 0.333
Now,
Common difference = a2 - a1 = 0.33 - 0.3 = 0.03
Also, a3 - a2 = 0.333 - 0.33 = 0.003
Since the common difference is not the same.
Hence, the terms are not in Arithmetic progression.
APPEARS IN
RELATED QUESTIONS
In an AP. It is given that `s_5 + s_7 = 167 and s_10 = 235 ," then find the AP, where " S_n` denotes the sum of its first n terms.
In an AP, the first term is -4, the last term is 29 and the sum of all its terms is 150. Find its common difference.
In an AP, the first term is 22, nth terms is -11 and sum of first n terms is 66. Find the n and hence find the4 common difference.
The sum of the first 7 terms of an AP is 182. If its 4th and 17th terms are in the ratio 1:5, find the AP.
The sum of the first 9 terms of an AP is 81 and that of its first 20 terms is 400. Find the first term and common difference of the AP.
The 13th terms of an AP is 4 times its 3rd term. If its 5th term is 16, Find the sum of its first 10 terms.
The sum of the 4th and 8th terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find the sum of its first 10 terms.
Sum of the first 14 terms of and AP is 1505 and its first term is 10. Find its 25th term.
A man saved ₹33000 in 10 months. In each month after the first, he saved ₹100 more than he did in the preceding month. How much did he save in the first month?
Is the following sequences are A.P.? If is A.P. find the common difference.
0, –4, –8, –12,...
Which of the following sequences are A.P. ? If they are A.P. find the common difference .
127, 132, 137,...
Write the correct number in the given boxes from the following A. P.
70, 60, 50, 40,...
Here t1 = , t2 =
, t3 =
,...
∴ a = , d =
Sum of first 55 terms in an A.P. is 3300, find its 28th term.
Yogesh requires 3 days more than Vivek to do a work completely. If both
of them work together, the work can be completed in 2 days. Find the
number of days required for each of them to do the work completely.
Solve any four of the following.
If x is the geometric mean of 16 and 9, find x.
Find tn for the A.P. 3,8,13,18,.....
Find out the ratio of 1 mm to 1 cm.