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Find the 15th term in the sequence
√5,3√5,5√5

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Sagot :

Answer:

The 15th term is 19

Step-by-step explanation:

an = a1 + (n - 1) d

a8:

5 = a1 + (8 - 1) d

5 = a1 + 7d

a29:

47 = a1 + (29 - 1) d

47 = a1 + 28d

a8 - a29

5 = a1 + 7d

— 47 = a1 + 28d

-42 = -21d

an = a1 + (n - 1) d

5 = a1 + (8 - 1) 2

5 = a1 + (7) 2

5 = a1 + 14

5 - 14 = a1

-9 = a1

a1 = -9

a15:

a15 = -9 + (15 - 1) 2

a15 = -9 + (14) 2

a15 = -9 + 28

a15 = 19

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