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Class IX-X Tuition,
Mathematics(Class IX-X Tuition)
How to find whether a sequence of numbers are in Arithmetic Progression or not?
Show previous answers
Meenakshi replied | 03/11/2016
If d (common difference) is same for different values of n , then the given list of numbers form an AP .
Sourabh replied | 04/11/2016
As all the answers say
If the difference is constant its in AP.
I will like to add one point that nothing but just practice can help you get through this problem.
You can add upto 6 Images
What is sum of an infinite geometric progression(GP)
Anurup replied | 02/05/2016
a=1st term ; r=common ratio
Sum=a/(r-1), if r>1
Sum=a/(1-r), if r<1
Ashutosh replied | 13/05/2016
it is a/(1-r) provided |r|<1 otherwise series can't converge.
Is there any relation between AM, GM, HM in Progressions?
Seerat replied | 28/04/2016
yes relationship between AM,HM and GM can be shown by this equatiion
AM x HM =GM^2
Ashutosh replied | 17/05/2016
GM is actually the GM of AM and HM. i.e. GM^2 = AM*HM
also AM>GM>HM always.
If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1: S4 = 1: 10. Then the ratio of first term to third term is _______ ?
Ashutosh Ranjan replied | 27/10/2016
S1/ s4= 1/10
S3= 3/2[2a+2a], because a=d
S1/s3 = a/6a
S1/s3 = 1/6
Divide 20 into 4 parts which are in A.P. and such that the product of first and fourth is to product of the second and third in ratio 2:3
Avinash replied | 27/04/2016
let the numbers be a-3d, a-d, a+d, a+3d,
given their sum is 20.
after solving, a=5....(1)
(a-3d)(a-3d)/(a-d)(a+d) = 2/3...(2)
from (1), substitute the value of a in (2)
by solving we will get d=+1 or -1
after substituting the values of a & d, we get the numbers as 2,4,6,8
John replied | 09/05/2016
2,4,6,8- found out by mere guessing.
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