Q: What is an Arithmetic Progression (AP)?
A: An AP is a sequence of numbers where each term is obtained by adding a fixed value
(common difference) to the previous term.
Q: What is the formula for the n-th term of an AP?
A: an=a+(n−1) d, where a is the first term, d is the common difference, and n is the term
number.
Q: How do you find the common difference (d) in an AP?
A: Subtract any term from the term that follows it: d=a n+1−an .
Q: What is the sum of the first n terms of an AP?
n
A: Sn= [2a+(n−1) d], where Sn is the sum, a is the first term, d is the common difference,
2
and n is the number of terms.
Q: What is the sum of the first 10 terms of an AP with a=4a = 4a=4 and d=3d = 3d=3?
n
A: Using Sn= [2a+(n−1)d]
2
10
S10= [2×4+(10−1)×3]
2
=5× [8+27] =5×35
=175
Q: What happens to an AP if the common difference is zero?
A: All terms in the sequence are the same.
A: An AP is a sequence of numbers where each term is obtained by adding a fixed value
(common difference) to the previous term.
Q: What is the formula for the n-th term of an AP?
A: an=a+(n−1) d, where a is the first term, d is the common difference, and n is the term
number.
Q: How do you find the common difference (d) in an AP?
A: Subtract any term from the term that follows it: d=a n+1−an .
Q: What is the sum of the first n terms of an AP?
n
A: Sn= [2a+(n−1) d], where Sn is the sum, a is the first term, d is the common difference,
2
and n is the number of terms.
Q: What is the sum of the first 10 terms of an AP with a=4a = 4a=4 and d=3d = 3d=3?
n
A: Using Sn= [2a+(n−1)d]
2
10
S10= [2×4+(10−1)×3]
2
=5× [8+27] =5×35
=175
Q: What happens to an AP if the common difference is zero?
A: All terms in the sequence are the same.
