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In a sequence of numbers where each term increases by a constant value, if the f

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Question: In a sequence of numbers where each term increases by a constant value, if the first term is 5 and the common difference is 3, what is the 10th term?

Options:

  1. 32
  2. 35
  3. 30
  4. 28

Correct Answer: 35

Solution: 

The nth term of an AP is given by the formula a + (n-1)d. Here, a = 5, d = 3, and n = 10. Thus, the 10th term = 5 + (10-1) * 3 = 5 + 27 = 32.

In a sequence of numbers where each term increases by a constant value, if the f

Practice Questions

Q1
In a sequence of numbers where each term increases by a constant value, if the first term is 5 and the common difference is 3, what is the 10th term?
  1. 32
  2. 35
  3. 30
  4. 28

Questions & Step-by-Step Solutions

In a sequence of numbers where each term increases by a constant value, if the first term is 5 and the common difference is 3, what is the 10th term?
  • Step 1: Identify the first term of the sequence, which is given as 5.
  • Step 2: Identify the common difference, which is given as 3.
  • Step 3: Identify the term number we want to find, which is the 10th term (n = 10).
  • Step 4: Use the formula for the nth term of an arithmetic sequence: nth term = a + (n-1)d.
  • Step 5: Substitute the values into the formula: a = 5, n = 10, d = 3.
  • Step 6: Calculate (n-1): 10 - 1 = 9.
  • Step 7: Multiply the common difference by (n-1): 3 * 9 = 27.
  • Step 8: Add the first term to the result: 5 + 27 = 32.
  • Step 9: The 10th term of the sequence is 32.
  • Arithmetic Progression (AP) – An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant.
  • Nth Term Formula – The nth term of an AP can be calculated using the formula a + (n-1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number.
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