Mathematics: Complete this sequence 4.15, 6.3, 8.45

Step-by-step explanation:I need a same question pleas....

Complete this sequence 4.15, 6.3, 8.45 - id415638452168011, oomale

TaraC

01.01.2022

The sequence will be 4.15, 6.3, 8.45, 10.60, 12.75........

Step-by-step explanation:

The given sequence is 4.15, 6.3, 8.45

Now we check whether the given sequence is arithmetic of geometric.

6.3 - 4.15 = 2.15

8.45 - 6.3 = 2.15

There is a common difference of 2.15 which confirms it's an arithmetic sequence.

Explicit formula for the arithmetic sequence is

$T_{n}=a+(n-1)d$

$T_{n}$ = nth term

a = first term of the sequence = 4.15

n = number of term

d = common difference = 2.15

Now we can find other terms of the sequence

$T_{4}=4.15+(4-1)2.15$

$T_{4}=4.15+6.45$

$T_{4}=10.6$

$T_{5}=4.15+(5-1)2.15$

$T_{5}=12.75$

Therefore, the sequence will be 4.15, 6.3, 8.45, 10.60, 12.75............

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