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The Conquests of Krishnadevaraya

Observe the f...

Question

Observe the following pattern and find the next step.

$1 \times 8 + 1 = 9$
$12 \times 8 + 2 = 98$
$123 \times 8 + 3 = 987$

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Solution

Given
$1 \times 8 + 1 = 9$
$12 \times 8 + 2 = 98$
$123 \times 8 + 3 = 987$

Obserbing the given pattern we get to know that the next step will be:

$1234 \times 8 + 4 = 9876$

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Similar questions

Q. Study the following pattern:

1 =

\frac{1 \times 2}{2}

\frac{2 \times 3}{2}

\frac{3 \times 4}{2}

1 + 2 + 3 + 4 =

\frac{4 \times 5}{2}

By observing the above pattern, find

(i) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

(ii) 50 + 51 + 52 + ................ + 100

(iii) 2 + 4 + 6 + 8 + 10 + ............... + 100

Q. Study the following pattern:

1 × 1 + 2 × 2 =

\frac{2 \times 3 \times 5}{6}

1 × 1 + 2 × 2 + 3 × 3 =

\frac{3 \times 4 \times 7}{6}

1 × 1 + 2 × 2 + 3 × 3 + 4 × 4 =

\frac{4 \times 5 \times 9}{6}

By observing the above pattern, write next two steps.

Q. Observe the following pattern and find the next step.

1 \times 8 + 1 = 9

12 \times 8 + 2 = 98

123 \times 8 + 3 = 987

For each pattern given below , write the next three steps :

12 x 8 + 2 = 98

123 x 8 + 3 = 987

Q. 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 four steps. Can you find out how the pattern works ?

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