latinasmarts101
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

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
#SPJ2

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.