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Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these?
Most Upvoted Answer
Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c)...
Solution:
Given, the progression is –1, –3, –5, ...
Let us first find the common difference of the progression:
d = –3 – (–1) = –2
Now, we need to find the term of the progression which is –57.
Let the nth term of the progression be –57.
Then, –1 + (n – 1)d = –57
⇒ –1 – 2n + 2 = –57
⇒ –2n = –60
⇒ n = 30
Therefore, the 30th term of the progression is –57.
Since option (d) says 'none of these', the answer is (d).
Hence, the correct option is (d).
Note: It is important to understand the concept of an arithmetic progression and how to find the nth term of the progression. The formula to find the nth term of an arithmetic progression is a + (n – 1)d, where a is the first term, d is the common difference, and n is the term number. It is also important to be careful while solving the equations and avoid making silly mistakes.
Given, the progression is –1, –3, –5, ...
Let us first find the common difference of the progression:
d = –3 – (–1) = –2
Now, we need to find the term of the progression which is –57.
Let the nth term of the progression be –57.
Then, –1 + (n – 1)d = –57
⇒ –1 – 2n + 2 = –57
⇒ –2n = –60
⇒ n = 30
Therefore, the 30th term of the progression is –57.
Since option (d) says 'none of these', the answer is (d).
Hence, the correct option is (d).
Note: It is important to understand the concept of an arithmetic progression and how to find the nth term of the progression. The formula to find the nth term of an arithmetic progression is a + (n – 1)d, where a is the first term, d is the common difference, and n is the term number. It is also important to be careful while solving the equations and avoid making silly mistakes.
Community Answer
Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c)...
Tn=a+(n-1)d
-57=-1+(n-1)(-2)
-57=-1-2n+2
-58=-2n
n=29
option (b)
-57=-1+(n-1)(-2)
-57=-1-2n+2
-58=-2n
n=29
option (b)
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Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these?
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Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these?.
Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which term of the progression –1, –3, –5, is –57 (a) 27th (b) 29th (c) 39th (d) none of these?.
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