Number Series — Missing & Wrong Term — Practice

Question 1

Find the next term: $7, 13, 19, 25, \ldots$

Accepted Answer

Each term increases by a constant 6 (arithmetic series): $25+6=31$.

Answer: 31.

Question 2

Find the next term: $3, 12, 48, 192, \ldots$

Accepted Answer

Each term is 4 times the previous one (geometric series): $192	imes4=768$.

Answer: 768.

Question 3

Find the next term: $2, 5, 10, 17, 26, 37, \ldots$

Accepted Answer

Each term follows $n^2+1$ for $n=1,2,3,\ldots$: the given terms are $1^2+1, 2^2+1, \ldots, 6^2+1$. The next uses $n=7$: $7^2+1=50$.

Answer: 50.

Question 4

Find the next term: $2, 5, 14, 41, 122, \ldots$

Accepted Answer

Each term follows 'triple and subtract 1': $2	imes3-1=5$, $5	imes3-1=14$, $14	imes3-1=41$, $41	imes3-1=122$. Next: $122	imes3-1=365$.

Answer: 365.

Question 5

Find the next term: $50, 47, 94, 91, 182, 179, \ldots$

Accepted Answer

The series alternates $-3$ then $	imes2$: after 179, the next operation is $	imes2$: $179	imes2=358$.

Answer: 358.

Question 6

Find the next term: $3, 4, 12, 39, 103, \ldots$

Accepted Answer

The differences are $1, 8, 27, 64$ — perfect cubes ($1^3, 2^3, 3^3, 4^3$). The next difference is $5^3=125$: $103+125=228$.

Answer: 228.

Question 7

Identify the wrong term: $6, 11, 18, 28, 38, 51$.

Accepted Answer

Testing against increasing odd increments (+5, +7, +9, +11, +13): the correct sequence is $6, 11, 18, 27, 38, 51$. The given sequence has $28$ in place of $27$.

Answer: 28 is the wrong term (should be 27).

Question 8

Identify the wrong term: $5, 11, 23, 46, 95, 191$.

Accepted Answer

Testing the pattern 'double and add 1': $5	imes2+1=11$, $11	imes2+1=23$, $23	imes2+1=47$, $47	imes2+1=95$, $95	imes2+1=191$. The given sequence has $46$ in place of $47$.

Answer: 46 is the wrong term (should be 47).

Practice — Number Series — Missing & Wrong Term

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