This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
Given:
Sequence is 55, 44, 33, 22, ...
We need to find the next two terms in the sequence.
According to the question,
Now, calculating the common difference of arithmetic sequence.
d1 = 44 - 55 = -11
d2 = 33 - 44 = -11
Hence, the common difference d is -11.
Now, calculating the next two terms of given sequence.
We know that,
[tex]a_n = a+ ( n-1) \times d[/tex]
[tex]a_5 = 55 + ( 4) \times (-11)\\\\a_5 = 55 -44\\\\a_5 = 11[/tex]
[tex]a_6 = 55 + ( 5) \times (-11)\\\\a_6 = 55 -55\\\\a_6 = 00[/tex]
Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
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