Study the pattern :
$1 \times 8+1=9$$12 \times 8+2=98$
$123 \times 8+3=987$
$1234 \times 8+4=9876$
$12345 \times 8+5=98765$
Write the next two steps. Can you say how the pattern works?
[(Hint: $12345=11111+1111+111+11+1$]

Given:

Given pattern is

$1 \times 8+1=9$

$12 \times 8+2=98$

$123 \times 8+3=987$

$1234 \times 8+4=9876$

$12345 \times 8+5=98765$

To do:

We have to write the next two steps. 

Solution:

From the pattern we can observe that,

$12345 = (11111 + 1111 + 111 + 11 + 1)$

$12345 \times 8 = (11111 + 1111 + 111 + 11 + 1) \times 8$

$= 11111 \times 8 + 1111 \times 8 + 111 \times 8 + 11 \times 8 + 1 \times 8$

$= 88888 + 8888 + 888 + 88 + 8$

$= 98760$

This implies,

$12345 \times 8+5=98765$

Therefore,

The next two terms of the given pattern are:

$123456 \times 8 + 6 = 987654$

$1234567 \times 8 + 7 = 9876543$

Tutorialspoint

Updated on: 10-Oct-2022

27 Views

Kickstart Your Career

Get certified by completing the course

Get Started