The required 100th term in the sequence is given as 1100.
What is the 100th term in the sequences 11, 22, 33, 44, 55 … is to determine.
What is arithmetic progression?
Arithmetic progression is the series of numbers that have common differences between preceding values.
Given sequence
11, 22, 33, 44, 55 …
Where first term ( a ) = 11 ;
common difference ( d ) = 11 - 22
= 11
The formula for the nth term of an Arithmetic progression is
a(nth) = a + ( n - 1 ) d
a (100th) = 11 + (100 - 1 )11
a (100th) = 11+ (99)11
= 11 + 1089
= 1100
The 100th term in an arithmetic sequence is 1100.
Thus, The required 100th term in the sequence is given as 1100.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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