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Which term of the progression –1, –3, –5, …. Is –39
  • a)
    21st
  • b)
    20th
  • c)
    19th
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which term of the progression –1, –3, –5, …. I...
The general formula for an arithmetic sequence is: 
a(n) = a + d(n-1) 

a : first term (-1) 
d : common difference (-2) 
n : number of the term you want. 

Plug in your values: 
a(n) = -1 - 2(n - 1) 

We can simplify that slightly if you like: 
a(n) = -1 - 2n + 2 
a(n) = 1 - 2n 

Now you can figure out the value of n when a(n) = -39: 
-39 = 1 - 2n 
-40 = -2n 
n = -40/-2 
n = 20 
It is the 20th term.
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Most Upvoted Answer
Which term of the progression –1, –3, –5, …. I...
Given, the progression is 1, 3, 5, ...

To find: Which term of the progression is 39?

Let's find the common difference of the progression first.

Common difference (d) = 3 - 1 = 2

Now, let's find the nth term of the progression using the formula:

aₙ = a₁ + (n-1)d

where a₁ is the first term and d is the common difference.

We want to find the term which is equal to 39. So, we can write:

39 = 1 + (n-1)2

Simplifying this equation, we get:

38 = 2(n-1)

19 = n-1

n = 20

Therefore, the 20th term of the progression is 39.

Hence, the correct option is (b) 20th.
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Which term of the progression –1, –3, –5, …. I...
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Which term of the progression –1, –3, –5, …. Is –39a)21stb)20thc)19thd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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