Respuesta :

The sum of geometric series will be:
(6^(1-1))+(6^(2-1))+(6^(3-1))+(6^(4-1))
=6^0+6^1+6^2+6^3
=1+6+36+216
=259

Answer: 259

Answer:

259

Step-by-step explanation:

We have the next sum

[tex]\sum_{i=1}^{4}6^{ i-1}[/tex]

Each term of the sum is

[tex]\sum_{i=1}^{4}6^{ i-1} = 6^{1-1}+6^{2-1}+6^{3-1}+6^{4-1} [/tex]

[tex]\sum_{i=1}^{4}6^{ i-1} = 6^{0}+6^{1}+6^{2}+6^{3} [/tex]

[tex]\sum_{i=1}^{4}6^{ i-1} = 1 + 6 + 36 + 216 [/tex]

Finally, the result is

[tex]\sum_{i=1}^{4}6^{ i-1} = 259 [/tex]

ACCESS MORE