Find the sum of the first 10 terms of an arithmetic sequence with an eighth term of 8.2 and a common difference of 0.4.
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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 8.2Common difference is 0.4a(8) = 8.2a + 7d = 8.2Since d = 0.4a + 7(0.4) =8.2a = 5.4Sum of 10 terms = n/2 (2a+(n-1)d)= 5(2*5.4 + 9*0.4)=5(10.8 +3.6)Sum=72For more information about arithmetic progression, visithttps://brainly.com/question/6561461#SPJ4