Hollyscottxidn
Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...

Find the nth term rule for the number of
matchsticks in pattern n

Sagot :

Abidemiokinidn

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.