Question:medium
Which is the seventh number in the sequence 5, 9, 16, 29, 54,
Which is the seventh number in the sequence 5, 9, 16, 29, 54,
Updated On: Aug 18, 2026
- 300
- 200
- 330
- 103
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Find the gaps between terms: \( 9-5=4, 16-9=7, 29-16=13, 54-29=25 \).
Step 2: Find the gaps between those gaps: \( 7-4=3, 13-7=6, 25-13=12 \), each one doubles, so the next two are \( 24 \) and \( 48 \).
Step 3: The next term-gaps are then \( 25+24=49 \) and \( 49+48=97 \).
Step 4: So \( a_6 = 54+49=103 \) and \( a_7 = 103+97=200 \).
\[ \boxed{200} \]
Step 2: Find the gaps between those gaps: \( 7-4=3, 13-7=6, 25-13=12 \), each one doubles, so the next two are \( 24 \) and \( 48 \).
Step 3: The next term-gaps are then \( 25+24=49 \) and \( 49+48=97 \).
Step 4: So \( a_6 = 54+49=103 \) and \( a_7 = 103+97=200 \).
\[ \boxed{200} \]
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