next number in the sequence 2, 7, 26, 101, 400

Question

next number in the sequence 2, 7, 26, 101, 400

Answer 1

Quadruple or multiply by four then subtract one.

Quadruple "  "   "   "    "     "     "    subtract two.

Quadruple  " "   "   "   "   "   "         subtract three.

Quadruple  "   "   "   "   "   "   "       subtract four.

 

Here we go:

 start with 2.

 quadruple, then subtract 1 ----> 2*4 - 1 = 7

 

Step 2: quadruple, then subtract 2:

  so 4*7 - 2 = 28 - 2 = 26

 

Step 3: quadruple, then subtract 3:

  26 x 4 - 3 = 104 - 3 = 101

 

Step 4: quadruple, then subtract 4:

   101 x 4 - 4 = 404 - 4  = 400

 

So the next step in the sequence is to quadruple, then subtract 5

 400 x 4 - 5 = 1600 - 5 = 1595