Answer:
3
Step-by-step explanation:
***SOLVE FOR X***
Answer:<span><span>
x=<span><span>6<span> or </span></span>x</span></span>=<span>0</span></span>
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
Answers:
The first five terms are: 3, 8, 13, 18, 23
This is a linear sequence
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Explanation:
Plug in n = 1 to get the first term
E(n) = 5*n-2
E(1) = 5*1-2
E(1) = 3
So 3 is the first term
Do the same for n = 2 to get the second term
E(n) = 5*n-2
E(2) = 5*2-2
E(2) = 8
So 8 is the second term
And again for n = 3
E(n) = 5*n-2
E(3) = 5*3-2
E(3) = 13
This means 13 is the third term
And again for n = 4
E(n) = 5*n-2
E(4) = 5*4-2
E(4) = 18
This means 18 is the fourth term
Finally, repeat for n = 5
E(n) = 5*n-2
E(5) = 5*5 - 2
E(5) = 23
So 23 is the fifth term
This sequence is linear because we're incrementing by the same amount each time. In this case, we're adding 5 each time for the sequence 3, 8, 13, 18, 23, and so on.
Answer:
12+96=108
Step-by-step explanation:
