0.16
1 to 4
12
3, -6, 12, 4, 20, ?
20
tn = t1+(n-1)d -- for arithmetic tn = t1rn-1 -- for geometric
8 + 4n
0.16
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
√12 x √20 = 3.46410161513775 x 4.47213595499958 = 15.4919333848297
1 to 4
The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.
29
12
3, -6, 12, 4, 20, ?
The geometric mean of 10 and 20 is 14.1421356237
The nth term of the sequence -4 4 12 20 29 is 8n+12 because each time the sequence is adding 8 which is where the 8n comes from. Then you take 8 away from -4 and because a - and - equal a + the answer is 12. Which is where the 12 comes from. Hope I helped.