Mathematics
Grade9
Easy

Question

Find a pattern in the sequence. Use the pattern to show the next two terms.
1, 3, 7, 15, 31, ___, ___

  1. 60, 120
  2. 63, 127
  3. 54, 116
  4. 57, 121

hintHint:

step 1 - The pattern in the sequence is the next number in the sequence is the multiplication of current number with 2 and addition of 1 to the result.
step 2 - (1*2) + 1 = 3
step 3 - (3*2) + 1 = 7
step 4 - (7*2) + 1 = 15
step 5 - (15*2) + 1 = 31
step 6 - (31*2) + 1 = 63
step 7 - (63*2) + 1 = 127

The correct answer is: 63, 127


    Given sequence, 1,3,7,15,31
    step 1 - The pattern in the sequence is the next number in the sequence is the multiplication of current number with 2 and addition of 1 to the result.
    step 2 - (1*2) + 1 = 3
    step 3 - (3*2) + 1 = 7
    step 4 - (7*2) + 1 = 15
    step 5 - (15*2) + 1 = 31
    step 6 - (31*2) + 1 = 63
    step 7 - (63*2) + 1 = 127

    Therefore, the two numbers in the given sequence are 63 and 127

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