Arithmetic Progression Flashcards
1
Q
Give the terms of an AP
A
a is the first term of the AP
d is the common difference
l is the last term
2
Q
How to find the nth term of an AP?
A
a n = a + (n-1)d, where n is the no. of the term
3
Q
How to find the last term of an AP?
A
l = a = (n-1)d
4
Q
How to find the nth term from the end of a finite AP?
A
l + (n-1) (-d) = l - (n-1)d
5
Q
Difference of any two terms of an AP
A
nth term - mth term = (n-m) d
6
Q
Middle term of a finite AP
A
It is one middle term of n is odd, term = n+1/2 th term
Two middle terms if n is even=n/2th term, n/2 +1 th term
7
Q
Numbers in an AP`
A
If the sum of numbers in an AP is given, then
three numbers are = a-d, a, a+d
four nos. are = a-3d, a-d, a+d, a+3d
five nos. are = a-2d, a-d, a, a+d, a+2d
