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Choose the most appropriate option ( a ), ( b ) , ( c ) or (d)
The nth element of the sequence 1, 3, 5, 7,….…..Is
  • a)
    n
  • b)
    2n – 1
  • c)
    2n +1
  • d)
    none of these
Correct answer is 'B'. Can you explain this answer?
Verified Answer
Choose the most appropriate option ( a ), ( b ) , ( c ) or (d)The nth ...
This is clearly an arithmetic sequence because the terms differ by 2 each time.

To find the nth term rule we need: 
a value for the *first term , a 
and a value for the *common difference d .

These values are then plugged into the formula:


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Most Upvoted Answer
Choose the most appropriate option ( a ), ( b ) , ( c ) or (d)The nth ...
Solution:

To find the nth term of the sequence 1, 3, 5, 7, ...

We can observe that each term in the sequence is obtained by adding 2 to the previous term.

So, the nth term can be represented as:

nth term = a + (n-1)d

where a = 1 (the first term), d = 2 (the common difference), and n is the term number we want to find.

Substituting the values, we get:

nth term = 1 + (n-1)2

Simplifying, we get:

nth term = 2n - 1

Therefore, the correct option is (b) 2n - 1.
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Community Answer
Choose the most appropriate option ( a ), ( b ) , ( c ) or (d)The nth ...
Given sequence in A.P Difference (d)3-1=2 First one (a)=1 nth element is arithmetic progression is a+(n-1)d 1+(n-1)2=2n-1
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Choose the most appropriate option ( a ), ( b ) , ( c ) or (d)The nth element of the sequence 1, 3, 5, 7,….…..Isa)nb)2n – 1c)2n +1d)none of theseCorrect answer is 'B'. Can you explain this answer?
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