how dO find the missing terms for the geometric sequence
o,?, ?, ?......
16, 40, 100......
Geometric series, with zero as the first term? That is a new one.
first: 0,0,0,0,0,....
Second, 16, 40, 100, 250, ..
would the common ratio be 4
I am not sure how to compute
because first term 4 x 4 = 16
but 4x16 is not 40 it equals 64 which is not the second term is possible there is no common ratio
40/16=2.5
16*2.5=40
40*2.5=100
100*2.5=250
250*2.5=625
625*2.5=1562.5
1562.5*2.5=3906.25 etc
22.34
To find the missing terms in a geometric sequence, we need to identify the common ratio (r) first. The common ratio is found by dividing any term by its previous term.
In this case, let’s find the common ratio:
Common ratio (r) = 40 / 16 = 2.5.
Now, we can use the common ratio to find the missing terms.
To find the second missing term:
2nd term = 1st term × r = 16 × 2.5 = 40.
To find the third missing term:
3rd term = 2nd term × r = 40 × 2.5 = 100.
Therefore, the missing terms in the sequence are 40 and 100.
In summary, to find the missing terms in a geometric sequence, follow these steps:
1. Identify the common ratio (r) by dividing any term by its previous term.
2. Use the common ratio to find the missing terms by multiplying the previous term by the common ratio.