Short tutorial on how to calculate arithmetic progression(A.P) explained with neat formula and example.
Arithmetic progression (AP) is the sequence of numbers in which the difference of two consecutive numbers is a constant. For instance, the sequence 2, 4, 6, 8, 10, 12... is an arithmetic progression with common difference 2. Here is a tutorial which helps you to learn how to calculate Arithmetic progression.
Here we provide you with the arithmetic progression formula and example.
Formula
Arithmetic Progression = a + (n-1)* d
Where,
a - the first term in the series
n - number of terms in the series
d - Common difference
Arithmetic Progression Problem With Solution
Step 1: Consider the sequence of numbers
2, 5, 8, 11, 14, 17, 20, 23, 26
Where,
a = 2 (first term in the series)
n = 9 (number of terms in the series)
d = 3 (Common difference)
Calculate Arithmetic Progression
Step 2: Substitute the values in formula.
Arithmetic Progression = a + (n-1)* d
= 2 + (9 - 1) * 3
= 2 + 8 * 3
= 2 + 24
Arithmetic Progression = 26