9514 1404 393
Answer:
1856
Step-by-step explanation:
The numbers given do not have a common difference, but they do have a common ratio:
58/29 = 116/58 = 2
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1×r^(n-1)
For this sequence, a1=29 and r=2, so the general term is ...
an = 29×2^(n-1)
Then the 7th term is ...
a7 = 29×2^(7-1) = 29×64 = 1856
The 7th term is 1856.
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If you prefer, you can double each term until you have 7 of them.
29, 58, 116, 232, 464, 928, 1856, ...
Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest
This is a ratio problem, so it would/ should be set up as 35/28:d/40 or something similar to that. All you do to solve for variables in ratios, is just multiply the two diagonal numbers(the ratio looks different when you write it out) and then divide it by the remaining number. So you do 35 x 40 which equals 1400 and divide that by 28 so 1400/28=50 so d= 50. Hope this wasn’t too confusing! :)