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The last term of the series 1, 2, 4,…. to 10 terms is
- a)512
- b)256
- c)1024
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The last term of the series 1, 2, 4,…. to 10 terms isa)512b)256c...
Given series: 1, 2, 4, ...
We need to find the last term of the series after 10 terms.
Approach:
We can observe that each term in the series is obtained by multiplying the previous term by 2. So, we can find the 10th term of the series by multiplying the 9th term by 2.
1st term: 1
2nd term: 2 = 1 x 2
3rd term: 4 = 2 x 2
4th term: 8 = 4 x 2
5th term: 16 = 8 x 2
6th term: 32 = 16 x 2
7th term: 64 = 32 x 2
8th term: 128 = 64 x 2
9th term: 256 = 128 x 2
10th term: 512 = 256 x 2
So, the last term of the series after 10 terms is 512.
Therefore, the correct option is (a) 512.
We need to find the last term of the series after 10 terms.
Approach:
We can observe that each term in the series is obtained by multiplying the previous term by 2. So, we can find the 10th term of the series by multiplying the 9th term by 2.
1st term: 1
2nd term: 2 = 1 x 2
3rd term: 4 = 2 x 2
4th term: 8 = 4 x 2
5th term: 16 = 8 x 2
6th term: 32 = 16 x 2
7th term: 64 = 32 x 2
8th term: 128 = 64 x 2
9th term: 256 = 128 x 2
10th term: 512 = 256 x 2
So, the last term of the series after 10 terms is 512.
Therefore, the correct option is (a) 512.
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Community Answer
The last term of the series 1, 2, 4,…. to 10 terms isa)512b)256c...
A=1,r=2,n=10 put these in formula of g.p to find n terms and u will get it
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The last term of the series 1, 2, 4,…. to 10 terms isa)512b)256c)1024d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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