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mel-nik [20]
3 years ago
11

Write an explicit formula for an, the nth term of the sequence 19,24,29

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: a_1=First \ term ; \ a_n=a_{n-1}+d

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

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Pie
E^2x - 5e^x = 24

(e^x)^2 - 5e^x =24

let e^x = u

u^2 - 5u = 24

u^2 -5u - 24 =0

(u - 8)(u+3)=0

u = 8 or u = -3

since e^x = u then u can't equal -3

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by taking ln for both sides

ln(e^x) = ln(8)

xln(e) = ln(8) .......................ln(e) = 1

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