Answer:
The sum of 6-term of geometric series is 1,527,890
Step-by-step explanation:
First term: [tex]a=23[/tex]
Last term: [tex]a_6=1358127[/tex]
Formula:
[tex]a_n=ar^{n-1}[/tex]
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Put n=6 into formula
[tex]a_6=23r^5[/tex]
[tex]1358127=23r^5[/tex]
[tex]r^5=59049=9^5[/tex]
[tex]r=9[/tex]
Common Ratio: r=9, a=23 and n=6
[tex]S_6=\dfrac{23(9^6-1)}{9-1}[/tex]
[tex]S_6=1527890[/tex]
Hence, The sum of 6-term of geometric series is 1,527,890
