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3 years ago

Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Mathematics

2 answers:

Advocard [28]3 years ago

7 0

Given sequence;

1, 4, 11, 26, 57, 120, _

The missing term =?

Solution;

We need to find the relationship between each term and then we can find the missing term;

1, 4, 11, 26, 57, 120, _ ;

let us start with the first two;

3 x 2 + 1 = 7 + 4 = 11

7 x 2 + 1 = 15 + 11 = 26

15 x 2 + 1 = 31 + 26 = 57

31 x 2 + 1 = 63 + 57 = 120

63 x 2 + 1 = 127 + 120 = 247

We see this pattern and can conclude that the missing term is 247

Marysya12 [62]3 years ago

5 0

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

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3 years ago

The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

________________________

→ " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

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→ a(b + c) = ab + ac .

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________________________

→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

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Now, let us check our work:

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to see if the equation holds true;

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________________________

→ -2[1 − 4x] = 3x + 8 ;

________________________

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→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

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___________________________________

→ 14 =? 14 ??? ; Yes!

___________________________________

Hope this is helpful to you!

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