Question
A series given below has a missing term (Z), find the
value of Z. 3, 10, 36, (Z), 770, 4632 If Z is the first term of another sequence and next term is formed by adding consecutive prime numbers starting from 7, find the fifth term of the sequence.Solution
ATQ, 3 Γ 2 + 4 = 10 10 Γ 3 + 6 = 36 36 Γ 4 + 8 = 144 + 8 = 152 152 Γ 5 + 10 = 760 + 10 = 770 770 Γ 6 + 12 = 4620 + 12 = 4632 Value of Z = 152 Now, second sequence starting with Z and adding consecutive primes from 7: 152 + 7 = 159 159 + 11 = 170 170 + 13 = 183 183 + 17 = 200 So, the 5th term of the new sequence = 200
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