Question

how many terms are there in the AP 7,11,15,29 ---203​

Answer 1

Answer:

50 terms

Step-by-step explanation:

Kindly see the attachment

Answer 2

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\sf{There \ are \ 50 \ terms \ in \ the \ A.P.}$

$\sf\orange{Given:}$

$\sf{The \ given \ A.P. \ is}$

$\sf{\implies{7,11,15,29,...,203}}$

$\sf\pink{To \ find:}$

$\sf{Number \ of \ terms.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{The \ given \ A.P. \ is}$

$\sf{\implies{7,11,15,29,…,203}}$

$\sf{Here, \ a=7, \ d=11-7=4, \ tn=203}$

$\sf{tn=a+(n-1)d...formula}$

$\sf{203=7+(n-1)\times4}$

$\sf{4(n-1)=203-7}$

$\sf{4(n-1)=196}$

$\sf{n-1=\frac{196}{4}}$

$\sf{n-1=49}$

$\sf{n=49+1}$

$\sf{n=50}$

$\sf\purple{\tt{\therefore{There \ are \ 50 \ terms \ in \ the \ A.P.}}}$