Question : The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, ..... is:
Option 1: $5:6$
Option 2: $5:7$
Option 3: $7:5$
Option 4: $6:5$
Answer (1)
25th Jan, 2024
Correct Answer: $5:7$
Solution :
Given sequence: 1, 3, 6, 10, .....
First term = 1
Second Term = 1 + 2 = 3
Third term = 3 + 3 = 6
Fourth term = 6 + 4 = 10
Fifth term = 10 + 5 = 15
Sixth term = 15 + 6 = 21
$\therefore$ Required ratio = $15:21$ = $5:7$
Hence, the correct answer is $5:7$.
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