Question

multiple of 7 are written next to each other 714212835..........find 2020th digit.​

Answer 1

SOLUTION

TO DETERMINE

The 2020th digit when multiple of 7 are written next to each other

7 , 14 , 21 , 28 , 35 ...

EVALUATION

Here the given multiples of 7 are written next to each other as

7 , 14 , 21 , 28 , 35 ...

This is an arithmetic progression

First term = a = 7

Common Difference = d = 14 - 7 = 7

So 2020th digit

= 2020 th term of the AP

$\sf{ = a + (2020 - 1)d}$

$\sf{ = 7 + 2019d}$

$\sf{ = 7 +( 2019 \times 7)}$

$\sf{ = ( 2020 \times 7)}$

$\sf{ =14140 }$

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