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A^n=a^1+(n-1)+d How would you solve this?

1 Answer

2 votes

thats the arithmetic sequence formula!

an = the term u want to find

a1= first term in the list of ordered #s

n= the term position

d= common difference of any pair of consecutive and adjacent #s

a^n=a^1+(n-1)+d is a formula to help find a term in a sequence.

EX: find the 35th term in thr arithmetuc sequence 3,9,15,21....

3 THINGS NEEDED:

1. the first term (a1)

2. common difference (d)

3. term position (n)

the first term = a1 = 3

difference = d = 6

term position = n = 35

an = a1 + (n-1)d

a35 = 3 + (35-1)6

= 3 + (34)6

= 3 + 204

a35 = 207

answered
User Jakirkham
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