Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16
Olenka [21]
Answer:
B. 12,17,23
Step-by-step explanation:
2,3,5,8, _,_,_
2,3 is increased by 1
3,5 is increased by 2
5,8 is increased by 3. theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.
Now knowing it is 4,5,6 we need to add, start adding.
8+4=12. Which answers have 12 in them? B and C.
We know 12 is the next number, now we add 5 to that.
12+5=17.
B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.
17+6=23. Its true that it is B, as B is 12.17.23.
We need to simplify this number. We begin by evaluating the numbers inside the equation. We can simplify this to:

Now, we evaluate this one step further. Because a negative exponent makes the number 1 over what it was, we can make this problem:

This becomes:

So, 1/4k is the answer. This is the same as C, so C is the right answer.
8/x^4
I multiply to get everything out of the Parentheses.
Then a lot more steps
But the answers is 8 over x to the power of 4
12
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