Question:
The 10th term of the series 5, 8, 11, 14, … is:
The 10th term of the series 5, 8, 11, 14, … is:
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For arithmetic series, the \(n^\text{th}\) term is given by:
\[
T_n = a + (n - 1)d
\]
Always double-check your common difference!
Updated On: Aug 11, 2025
- 32
- 35
- 38
- 185
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The Correct Option is C
Solution and Explanation
Step 1: Recognize the type of sequence
The given sequence: \[ 5,\ 8,\ 11,\ 14,\ \ldots \] is an arithmetic progression (A.P.) with first term \( a = 5 \) and common difference \( d = 8 - 5 = 3 \) Step 2: Use formula for the \(n^\text{th}\) term of an A.P.
\[ T_n = a + (n - 1)d \] Step 3: Plug in values
To find the 10th term: \[ T_{10} = 5 + (10 - 1) \times 3 = 5 + 9 \times 3 = 5 + 27 = 32 \] Oops! This means option (a) 32 is correct — not (c). Let's double-check. \[ T_{10} = 5 + 9 \times 3 = 5 + 27 = \boxed{32} \] % Final Answer \[ \boxed{32} \] % Corrected Answer Correct Answer: (a) 32
The given sequence: \[ 5,\ 8,\ 11,\ 14,\ \ldots \] is an arithmetic progression (A.P.) with first term \( a = 5 \) and common difference \( d = 8 - 5 = 3 \) Step 2: Use formula for the \(n^\text{th}\) term of an A.P.
\[ T_n = a + (n - 1)d \] Step 3: Plug in values
To find the 10th term: \[ T_{10} = 5 + (10 - 1) \times 3 = 5 + 9 \times 3 = 5 + 27 = 32 \] Oops! This means option (a) 32 is correct — not (c). Let's double-check. \[ T_{10} = 5 + 9 \times 3 = 5 + 27 = \boxed{32} \] % Final Answer \[ \boxed{32} \] % Corrected Answer Correct Answer: (a) 32
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