Which term will be 27 of the sequence 5,7,9,11,....:
Sir this question answer 10 how it possible i am confused
10 is not correct
... the 10th term is 23
the difference between terms is 2
27 is (5 + 22)
... the 1st term plus 11 differences
... 27 is the 12th term
To find the 27th term of the sequence 5, 7, 9, 11, ..., we need to determine the pattern or rule that governs the sequence. From the given terms, it appears that each term is obtained by adding 2 to the previous term.
So, the common difference between each term is 2.
To find the 27th term, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 5, the common difference is 2, and we want to find the 27th term. Plugging these values into the formula, we have:
27th term = 5 + (27 - 1) * 2
= 5 + 26 * 2
= 5 + 52
= 57
Therefore, the 27th term of the sequence 5, 7, 9, 11, ... is 57, not 10.
To find the 27th term of the sequence 5, 7, 9, 11, ..., you can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference.
In this sequence, the first term (a) is 5 and the common difference (d) is 2 (each term increases by 2). Plugging these values into the formula, we get:
27th term = 5 + (27 - 1) * 2
= 5 + 26 * 2
= 5 + 52
= 57.
Therefore, the 27th term of the sequence is 57, not 10. It seems there was a mistake or confusion in the answer you mentioned.