1️⃣ 2, 4, 6, 8, ?
The series consists of even numbers.
Each number is obtained by adding 2 to the previous number.
8 + 2 = 10.
Answer: 10 ✅
2️⃣ 1, 3, 5, 7, ?
The series consists of odd numbers.
7 + 2 = 9.
Answer: 9 ✅
3️⃣ 10, 20, 30, 40, ?
The series consists of multiples of 10.
Each number is obtained by adding 10 to the previous number.
40 + 10 = 50.
Answer: 50 ✅
4️⃣ 2, 6, 12, 20, ?
The differences between consecutive terms are: 6-2 = 4, 12-6 = 6, 20-12 = 8.
The differences form an arithmetic progression: 4, 6, 8.
The next difference should be 10.
20 + 10 = 30.
Answer: 30 ✅
5️⃣ 3, 8, 15, 24, ?
The differences between consecutive terms are: 8-3=5, 15-8=7, 24-15=9.
The differences form an arithmetic progression: 5, 7, 9.
The next difference should be 11.
24 + 11 = 35.
Answer: 35 ✅
6️⃣ 1, 4, 9, 16, ?
The series consists of perfect squares: 1 = $1^2$, 4 = $2^2$, 9 = $3^2$, 16 = $4^2$.
The next number should be $5^2$.
$5^2$ = 25.
Answer: 25 ✅
7️⃣ 2, 3, 5, 7, ?
The series consists of prime numbers.
The next prime number after 7 is 11.
Answer: 11 ✅
8️⃣ 1, 2, 6, 24, ?
The pattern is: 1 x 2 = 2, 2 x 3 = 6, 6 x 4 = 24.
The next step is 24 x 5.
24 * 5 = 120.
Answer: 120 ✅
9️⃣ 2, 10, 30, 68, ?
The pattern is: $1^3 + 1 = 2$, $2^3 + 2 = 10$, $3^3 + 3 = 30$, $4^3 + 4 = 68$.
The next step is $5^3 + 5$.
$5^3 + 5 = 125 + 5 = 130$.
Answer: 130 ✅
🔟 3, 7, 16, 35, ?
The pattern is: (3 * 2) + 1 = 7, (7 * 2) + 2 = 16, (16 * 2) + 3 = 35.
The next step is (35 * 2) + 4.
(35 * 2) + 4 = 70 + 4 = 74.
Answer: 74 ✅