Math, asked by alurupraveen, 5 months ago

Directions (Q1 - Q3): For the given number series, find what will come in place of the
Q 1.2 10 50? 1250 6250
1. 125
2.450
3. 100
4.250
5. 150

Answers

Answered by dhulek34
3

Answer:

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Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the 8th Term 2 , 10 , 50 , 250 , 1250 , 6250

2

2 ,

10

10 ,

50

50 ,

250

250 ,

1250

1250 ,

6250

6250

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

5

5 gives the next term. In other words,

a

n

=

a

1

r

n

1

an=a1⋅rn-1.

Geometric Sequence:

r

=

5

r=5

This is the form of a geometric sequence.

a

n

=

a

1

r

n

1

an=a1rn-1

Substitute in the values of

a

1

=

2

a1=2 and

r

=

5

r=5.

a

n

=

(

2

)

(

5

)

n

1

an=(2)⋅(5)n-1

Remove parentheses.

a

n

=

2

5

n

1

an=2⋅5n-1

Substitute in the value of

n

n to find the

n

nth term.

a

8

=

2

5

(

8

)

1

a8=2⋅5(8)-1

Subtract

1

1 from

8

8.

a

8

=

2

5

7

a8=2⋅57

Raise

5

5 to the power of

7

7.

a

8

=

2

78125

a8=2⋅78125

Multiply

2

2 by

78125

78125.

a

8

=

156250

a8=156250

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