A is the answer if I calculated right ;)
Let, the number = n
It would be: 2n = 28
n = 28/2
n = 14
In short, Your Answer would be 14
Hope this helps!
Answer:
t(n) = 2n² + n - 3
Step-by-step explanation:
<u>Given sequence: </u>
Find the formula for nth term t(n)
<h3>Solution</h3>
<u>Sequence is neither arithmetic nor geometric, analyzing:</u>
<u>First level difference</u>
<u>Second level difference</u>
<u>As there are two levels, the formula should be in the form of:</u>
<u>Trying the formula with the known terms:</u>
- t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7
- t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3
<u>Going back to previous equations to find remaining coefficients:</u>
- t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1
<u>So the formula becomes:</u>
t(n) = 2n² + n - 3
8668/25 + 4141/9 - 5533/25.....common denominator is 225
78012/225 + 103525/225 - 49797/225 =
181537/225 - 49797/225 =
131740/225 =
585 115/225 =
585 23/45
so the fraction part of the mixed number is 23/45