What is the sum of the geometric sequence 3, 15, 75, … if there are 7 terms? 39,062 58,593 195,312 292,968?
2 answers:
Answer:
7th term is 46,875
Step-by-step explanation:
The given geometric sequence is 3, 15, 75.....
Here the first term a1 = 3, common ratio (r) = 15/3 = 5
The nth term an = a1.r^(n-1)
To find the 7th term, plug in n = 7.
a7 = 3. (5)^(7 -1)
a7 = 3.5^6
a7 = 3*15625
a7 = 46,875
Hope this will helpful.
Thank you.
So to figure out the next number in the sequence you multply the previous number by 5 the first 7 terms are 3, 15, 75, 375, 1875, 9375, and 46875 then ad those all up and you get 58,593
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