Question

5,15,13,52,48,240,?

1,3,7,13,21,?

13,17,25,32,37,47,?

Answer 1

Ответ:

The missing terms in the arithmetic sequences are as follows:

```

5, 15, 13, 52, 48, 240, **192**

1, 3, 7, 13, 21, **33**

13, 17, 25, 32, 37, 47, **53**

```

To find the missing terms, we can use the following formula:

```

an = a1 + d(n - 1)

```

where:

* `an` is the nth term in the sequence

* `a1` is the first term in the sequence

* `d` is the common difference between two consecutive terms

* `n` is the position of the term in the sequence

For example, to find the missing term in the first sequence, we can use the following equation:

```

an = 5 + 10(n - 1)

```

where `n` is the position of the missing term in the sequence. We can see that the missing term is in the 7th position, so we can substitute `n = 7` into the equation:

```

an = 5 + 10(7 - 1)

```

```

an = 192

```

We can use the same approach to find the missing terms in the other sequences.

Here are the steps to find the missing terms in the arithmetic sequences:

1. Identify the first term and the common difference of the sequence.

2. Use the formula `an = a1 + d(n - 1)` to find the missing term.

3. Substitute the position of the missing term into the equation.

4. Solve for the missing term.

I hope this helps!