Question

Find the next number of the sequence: 30, 29, 27, 24, 20, 15,_?
Select one
a. 10
b. 9
c.11
d.8​

Answer 1

Answer:

9

Step-by-step explanation:

cause 15-6=9 ezzzzzzzzzzz

Answer 2

Answer:

Concept:

The next number of the given sequence is $9$

Sequence:

• In mathematics, a sequence is a list of components, usually numbers, where the components' order is important.
• Here, the components all fit into a specific pattern.
• Example:1,2,3,...,

Given:

The given sequence is $30, 29, 27, 24, 20, 15,...$

To Find:

The Next number of the given sequence.

Solution:

In order to identify the subsequent term, we must examine the pattern between the terms.

Let the T1 be the term 1, T2 be the term 2, T3 be the term 3,.. respectively.

$T1 = 30$

$T2=29$

$T3=27$

$T4=24$

$T5=20$

$T6=15$

Let d be the difference between respective terms,

$D1 = T1-T2=30-29=1$

$D2 = T2-T3=29-27=2$

$D3=T3-T4=27-24=3$

$D4=T4-T5=24-20=4$

$D5=T5-T6=20-15=5$

The difference is increasing by 1. So, the next difference must be $6$.

$D6=6$

Let us consider a as the next number,

⇒$D6=T6-T7$

⇒$6=15-a$

⇒$a= 15-6$

⇒$a = 9$

The next number of the given sequence is $9$

Then, the given sequence is $30, 29, 27, 24, 20, 15,9,...$

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