Question

the number that exactly divides 3^41+3^42+3^43+3^44+3^45​

Answer 1

Answer:

2300 ok

thankyou pleses follow ma.

Answer 2

The answer is 121

Given: 3⁴¹+3⁴²+3⁴³+3⁴⁴+3⁴⁵

To find:​ the number which divides 3⁴¹+3⁴²+3⁴³+3⁴⁴+3⁴⁵  exactly

Solution:

given   3⁴¹+3⁴²+3⁴³+3⁴⁴

⇒ 3⁴¹[ 1 + 3¹ +3²+3³+3⁴ ]    [ take  3⁴¹ common ]

⇒ 3⁴¹ [ 1 + 3 + 9 + 27 +81 ]  

⇒ 3⁴¹ [ 121 ]  

Here, 3⁴¹+3⁴²+3⁴³+3⁴⁴+3⁴⁵  is a multiple of 121

Therefore, 121 will divide 3⁴¹+3⁴²+3⁴³+3⁴⁴+3⁴⁵ exactly

#SPJ2