Question

Math

Posted 3 months ago

```
Complete the recursive formula of the arithmetic sequence $14,30,46,62, \ldots$.
$d(1)=$ $\square$
$d(n)=d(n-1)+$
$\square$
```

Sign in to unlock the answer

Answer from Sia

Posted 3 months ago

Solution by Steps

step 1

Identify the first term of the arithmetic sequence

step 2

The first term, $d(1)$, is given as 14

step 3

Determine the common difference of the sequence

step 4

The common difference can be found by subtracting any term from the subsequent term, for example, $30 - 14 = 16$

step 5

Write the recursive formula using the first term and the common difference

step 6

The recursive formula is $d(n) = d(n-1) + 16$ with $d(1) = 14$

Answer

$d(1) = 14$ and $d(n) = d(n-1) + 16$

Key Concept

Recursive Formula of an Arithmetic Sequence

Explanation

The recursive formula for an arithmetic sequence is given by $d(n) = d(n-1) + d$, where $d$ is the common difference between consecutive terms. The first term is specified as $d(1)$.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question