Question

Find the common difference and the next three terms of each arithmetic sequence
24. 14.4​

Answer 1

Given:

Given terms: 14, 4

To find:

We need to find the common difference and the next three terms for the given arithmetic sequence.

Solution:

Given terms are 14 and 4.

To find common difference $(d)$, find the difference between second term and the first term of the arithmetic sequence.

$\Rightarrow d=4-14$

$\Rightarrow d=-10$

So, common difference is $d=-10$.

To find the next terms, add $-10$ to the previous terms.

$\Rightarrow 4-10=-6$

$\Rightarrow -6-10=-16$

$\Rightarrow -16-10=-26$

Therefore,

• First term of the arithmetic sequence is $14$.
• Second term of the arithmetic sequence is $4$.
• Third term of the arithmetic sequence is $-6$.
• Fourth term of the arithmetic sequence is $-16$.
• Fifth term of the arithmetic sequence is $-26$.