Math, asked by ltzYourBrainly, 2 months ago


 \large \bold \red{Question :- \: }

Find the 8th term of the given geometric progression =

5, 10, 20, ....

 \large  \bold \pink{Dont \:  Spam \:  ! \: }

Answers

Answered by TheAestheticBoy
135

Step-by-step explanation:

 \large \bold \red{Question →}

Find the 8th term of the given geometric progression = 5, 10, 20 ....

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 \large \bold \red{Answer →}

Given :-

  • First term ( a ) = 5
  • Common Ratio ( r ) = 10/5 = 2

★ To Find :-

  • 8th term of the given G.P

 \large \bold \pink{Solution →}

★ Therefore :-

  • Formula Required -

 \longrightarrow \large {\bold\red{t_{n} ={ar} \: ^{n - 1} }}

★ Here :-

  • According To Formula :-

 \large \bold{ t_{8} = 5 \times  {2} \: ^ {8 - 1}  } \\   = \large \bold {5 \times  {2}^{7} } \\  \large \bold{  \:  \:  \:  \: = 5 \times 128} \\ \large{  \mapsto{\bold{\fcolorbox{pink}{white}{640}}}}

Hence :-

  • The 8 term of given G.P is 640

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 \ \green{ \fcolorbox{gray}{black} {\textbf{ Hence, Verified ✔ }}}

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\large\colorbox{pink}{Hope lt'z Help You ❥ }

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