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30 votes
30 votes
What does this multiple by
38 , 51 , 64 , 77 , 90

User Allkenang
by
3.0k points

1 Answer

12 votes
12 votes

Answer:

It's an arithmetic sequence. Instead of multiplying, you're adding 13. The answer is Tn=13n+25

Explanation:

If you minus 38 from 51 (51-38), you get 13 and this 13 is constant throughout.

It's the same if you do (64-51).

Therefore 13 is our difference, we call it d.

Next you use the formula Tn=a+(n-1)d and substitute.

a is the first term of our sequence therefore it's a=38 and d=13.

We don't know n which is the number of terms.

When we sub its gonna be Tn=38+(n-1)(13)

And then you solve.

User Robert Perry
by
2.9k points