Question

The next number of the sequence 2, 6, 10, 30, 34, 102 ............. will be

Answer 1

Answer: 106

Step-by-step explanation:

2 x 3 =6        6 + 4 = 10

10 x 3 = 30     30 + 4= 34

34 x 3 = 102    102 + 4 = 106

Answer 2

Answer:

The next number in the sequence is 106.

Step-by-step explanation:

Sequence:

• A list of numbers or other things that demonstrates a certain pattern is called a sequence.

Types of Sequence:

Finite Sequence:

• A finite sequence is one with a predetermined number of terms. One example of a finite sequence is the number of bounces a ball needs to make before coming to rest.

Continuum Sequence:

• The term "infinite sequence" refers to a sequence with an unlimited number of terms. For instance, a series of natural numbers—1, 2, 3, 4, and so on—forms an infinite series.

Given sequence is 2, 6, 10, 30, 34, 102

• First number multiplied by 3 and then second number is obtained then add 4 to second number and get third number, then multiply third number with 3 to get fourth number, and then add 4 to fourth number to get fifth number and so on.
• Alternatively multiply with 3 and add 4.

        2×3 = 6

                                 6+4 = 10

       10×3 = 30

                              30 + 4 = 34

      34×3 = 102

                              102+4 = 106

         Hence, the next number in the sequence is 106.

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