latinasmarts101
Answered

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What is the 100th term in the sequence 11, 22, 33, 44, 55 …?

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janicepalma012104

Its an arithmetic sequence. Here is the formula and process.

An= A1 + (n-1) d

An = the nth term in the sequence

A1 = 1st term

n = number of terms

d = common difference

An = A1 + (n-1) d

= 11 + (100-1) 11

= 11 + (99) 11

= 11 + 1,089

= 1,100

sana makatulongg study hard

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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