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olga nikolaevna [1]
4 years ago
9

What is the sum of the multiples of 3 and 999, inclusive

Mathematics
1 answer:
Phantasy [73]4 years ago
8 0

Answer:

166,833

Step-by-step explanation:

t

n

=

a

+

(

n

−

1

)

d

999

=

3

+

(

n

−

1

)

3

999

=

3

+

3

n

−

3

999

=

3

n

n

=

333

We can now use the formula

s

n

=

n

2

(

2

a

+

(

n

−

1

)

d

)

)

to determine the sum.

s

333

=

333

2

(

2

(

3

)

+

(

333

−

1

)

3

)

s

333

=

333

2

(

1002

)

s

333

=

166

,

833

Hopefully this helps!

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