2 years ago

QUESTION IN PIC- 20 POINTS

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

Answer:

18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

an = an

5n -3 = 4n +15

n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

<em>Additional comment</em>

The last term in each sequence is 87.

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