The sum of first 10 terms is 72.
Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Arithmetic Progression Formula
= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.
Given:
Eighth term is 8.2
Common difference is 0.4
a(8) = 8.2
a + 7d = 8.2
Since d = 0.4
a + 7(0.4) =8.2
a = 5.4
Sum of 10 terms = n/2 (2a+(n-1)d)
= 5(2*5.4 + 9*0.4)
=5(10.8 +3.6)
Sum=72
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