Answer:
6 terms
Step-by-step explanation:
2 − 2/4 + 2/9 − 2/16 + ...
∑ (-1)ⁿ⁺¹ 2 / n²
Applying alternating series test:
lim(n→∞) 2/n² = 0
2/(n+1)² < 2/n², so the series is decreasing.
Therefore, the series converges.
2/(n+1)² < 0.05
(n+1)²/2 > 20
(n+1)² > 40
n+1 > 6.32
n > 5.32
n = 6
Answer:
D
Step-by-step explanation: because W in the equation is the number of weeks she paid for the self defense class. and the 12.50 would be the registration fee because that is added on top of the number of 40w.
40w + 12.50 = 492.50
-12.50 -12.50
40w = 480.00
w = 12 which is how many weeks she paid
Answer:
<em>2(15+8)</em>
Step-by-step explanation:
Given the expression 30+16
We are to use GCF to rewrite the sum as a product.
Get the factor of each value first as shown;
30 = 2 * 15
16 = 2 * 8
substitute the factors back into the expression:
30+16 = (2*15)+(2*8)
Since 2 is common to both terms, then:
30+16 = 2(15+8)
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<em>Hence the required sum of product of the terms is 2(15+8)</em>
Put the decimal over 100 and get rid of the decimal
