Question

If a1 = 9 and a5 = 14. Then find the common difference​

Answer 1

❥$\:{\red{\underline{\underline{\large{\mathtt{GIVEN}}}}}}$

• a1 = 9
• a5 = 15

❥$\:{\orange{\underline{\underline{\large{\mathtt{TO\:FIND}}}}}}$

• common difference

❥$\:{\purple{\underline{\underline{\large{\mathtt{SOLUTION}}}}}}$

⇒ a1 = 9 ; a5 = 14 (given)

⇒ a1 + 4d = 14

⇒ 9 + 4d = 14

⇒ 4d = 14 - 9

⇒ d = 5/4

★ Hence, the common difference is 5/4

Answer 2

QUESTION:-

✯.ɪғ ᴀ1 = 9 ᴀɴᴅ ᴀ5 = 14. ᴛʜᴇɴ ғɪɴᴅ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow a_1=9$

$\sf\dashrightarrow a_5 =14$

$\Large\underline\bold{TO\:FIND}$

$\sf\dashrightarrow COMMON\:DIFFERENCE$

$\Large\underline\bold{SOLUTION,}$

$\sf\therefore a_1=9$

$\sf\therefore a_5=14$

ACCORDING TO THE QUESTION,

$\sf\therefore breaking\:a_5\:as,$

$\sf\implies a_1+4d=14$

$\sf\implies 9 + 4d = 14$

$\sf\implies 4d = 14 - 9$

$\sf\implies 4d=5$

$\sf\therefore d= \dfrac{5}{4}$

$\large{\boxed{\sf{\therefore d= \dfrac{5}{4}}}}$

✯therefore, the common difference of an A.P. is $\sf \dfrac{5}{4}$

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