Question

an=2n-1

i need 5 answers

Answer 1

Answer:

$\huge{\underline{\underline{Given→}}}$

• $\sf\green{Equation's\:form→an=2n-1}$

$\huge{\underline{\underline{To\:Find→}}}$

$\sf\purple{→5\:terms\:in\:the\:given\:form.}$

$\huge{\underline{\underline{Answer→}}}$

$\sf{\underline{\underline{\red{1st\:Term→}}}}$ Putting n=1.

$\sf\blue{→an=2n-1}$

$\sf\blue{→a(1)=2(1)-1}$

$\sf\blue{→a=2-1}$

$\sf\blue{→a=1}$

$\sf{\boxed{\boxed{\pink{→a=1✔}}}}$

$\sf{\underline{\underline{\red{2nd\:Term→}}}}$ Putting n=2.

$\sf\color{blue}{→an=2n-1}$

$\sf\color{blue}{→a(2)=2(2)-1}$

$\sf\color{blue}{→a2=4-1}$

$\sf\color{blue}{→a2=3}$

$\sf{\boxed{\boxed{\pink{→a2=3✔}}}}$

$\sf{\underline{\underline{\red{3rd\:Term→}}}}$ Putting n=3.

$\sf\color{steelblue}{→an=2n-1}$

$\sf\color{steelblue}{→a(3)=2(3)-1}$

$\sf\color{steelblue}{→a3=6-1}$

$\sf\color{steelblue}{→a3=5}$

$\sf{\boxed{\boxed{\pink{→a3=5✔}}}}$

$\sf{\underline{\underline{\red{4th\:Term→}}}}$ Putting n=4.

$\sf\color{purple}{→an=2n-1}$

$\sf\color{purple}{→a(4)=2(4)-1}$

$\sf\color{purple}{→a4=8-1}$

$\sf\color{purple}{→a4=7}$

$\sf{\boxed{\boxed{\pink{→a4=7✔}}}}$

$\sf{\underline{\underline{\red{5th\:Term→}}}}$ Putting n=5.

$\sf\color{green}{→an=2n-1}$

$\sf\color{green}{→a(5)=2(5)-1}$

$\sf\color{green}{→a5=10-1}$

$\sf\color{green}{→a5=9}$

$\sf{\boxed{\boxed{\pink{→a5=9✔}}}}$

$\implies$ So from here, the first five terms of the given form of the equation are → 1,3,5,7 and 9 respectively.This the A.P is →1,3,5,7,9,.........

HOPE IT HELPS.