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rodikova [14]
3 years ago
14

FIVE STARS AND BRAINLIEST TO CORRECT ANSWER

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0
The series is -10-2+6+14+...+110
We see that the common ratio is 8, so it is of the form T0+8n
We also see that T0=-10 (i.e. when the pattern starts.
So we have
Tn=-10+8n
and the summation would be
∑ (-10+8n)

Next to determine the limits. 
We know that the first term is -10, which fits T0=-10+8(0).
The last term is 110, which gives the equation Tn=110=-10+8(n)
Solving for n gives
n=(110+10)/8=15

Therefore the limits of summation are 0, 15
hence the summation formula is
\sum_0^{15}(-10+8n)

I will leave the other problem you posted for your own exercise.
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