The 122nd term of the sequence is 368.
What is an Arithmetic Sequence?
An arithmetic sequence is a series of numbers, which are separated by a common difference.
It can be an increasing or decreasing series, and the value of the common difference can be positive and negative.
The sequence is 5, 8, 11,..............
The common difference is 8 -5 = 3
The nth term of a series determined by the general formula,
aₙ = a₁ + ( n-1) d
a₁ is the first term of the sequence.
n is the no. of term of the sequence
d is the common difference
a₁ in this series is 5
d = 3
n is 122, as the 122nd term has to be determined
Putting the values in the formula,
a₁₂₂ = 5 + ( 122 -1 ) * 3
a₁₂₂ = 5 + 121 *3
a₁₂₂ = 5 +363
a₁₂₂ = 368
The 122nd term has been determined.
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