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miv72 [106K]
3 years ago
12

The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10

terms in a geometric series with a first term of 10 and a common ratio of 2?
5115

10,230

25,575

51,150
Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

It’s 11

Step-by-step explanation:

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\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

\large\underline{  \boxed{ \sf{✰\: Concept }}}

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\large\underline{  \boxed{ \sf{✛\: Assumptions\:✛ }}}

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\rm\angle \: p +  \angle \: q = 180 \degree \\

★ Substituting values

\rm { \pink➾ \:( 3x  - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm  { \pink➾6x = 180  + 12}

\qquad \qquad\rm { \pink➾6x  = 192} \\ \qquad\qquad\rm { \pink➾ \: x =  \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}

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\boxed{↪\underline{  \boxed{ \rm{\: x = 32\green✓}}}↩}

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