We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
Answer:
The solutions are 3 and -5
Step-by-step explanation:
x+3=x^2+3x-12
x^2+2x-15
=(x-3)(x+5)
<span>2x^2+8x-7=-2
</span><span>2x^2+8x - 5 = 0
using the formula:- x = [-8 +/- sqrt(8^2 - 4*2*-5) ] / 4
= -2 +/- sqrt 104)/2
= 0.5495 , -4.549
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