Full chapter arithmetic progression

Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference. 12 ,\ 2,\ -8,\ -18 ,\ ... (ii) 3,\ 3,\ 3,\ 3,\ ddot (iii) p ,\ p+90 ,\ p+180 ,\ p+270 ,\ where p=(999)^(999)

Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference. 3,\ 6,\ 12 ,\ 24 ,\ (ii) 0,\ -4,\ -8,\ -12 ,\ ddot (iii) 1/2,1/4,1/6,1/8,\

Define an arithmetic progression.

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

Let three positive numbers a, b c are in geometric progression, such that a, b+8 , c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to

If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is

The angles of a quadrilateral are in arithmetic progression and their common difference is 10^(@) . Find the angles.

Three numbers a, b and c are in geometric progression. If 4a, 5b and 4c are in arithmetic progression and a+b+c=70 , then the value of |c-a| is equal to