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d1i1m1o1n [39]
3 years ago
15

1,5,9,13 generalize the pattern by finding the nth term

Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

an= a1 +(n-1)*4

Step-by-step explanation:

a1 = 1, a2 =5, a3 = 9, a4= 13,... an= ?

we see that each term is getting bigger so usually that will happen because of addition or multiplication-in our case add 4 to previous term

a1 = 1,

a2 = a1+(2-1) 4 = 1+4 = 5,

a3 = a1 + (3-1)*4 = a1+8 = 1 + 8 = 9,

a4= a1 + (4-1)*4 = a1 + 12 = 1+12= 13,

...

an= a1 +(n-1)*4

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3 years ago
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
3 years ago
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