a). The 5th term is 20 and the 6th term of the sequence is 23.
2). The 4th and 5th terms of the sequence will be 8 and 16. respectively.
a).
It is given that the nth term of a sequence is [tex]3n + 5[/tex].
We need to find the 5th and 6th terms of the given sequence.
So, the 5th and 6th term of the sequence will be,
[tex]a_n=3n+5\\a_5=3\times 5+5\\a_5=20\\a_6=3\times 6+5\\a_6=23[/tex]
Thus, the 5th term is 20 and the 6th term of the sequence is 23.
2).
The first three terms of a different sequence are,
1, 2, 4
By analyzing the given terms, the nth term of the sequence can be written as,
[tex]a_n=2^{(n-1)}[/tex]
[tex]a_1=2^{(1-1)}=1\\a_2=2^{(2-1)}=2\\a_3=2^{(3-1)}=4[/tex]
So, the 4th and 5th terms of the sequence will be,
[tex]a_n=2^{(n-1)}\\a_4=2^{(4-1)}\\a_4=8\\a_5=2^{(5-1)}\\a_5=16[/tex]
Thus, the 4th and 5th terms of the sequence will be 8 and 16. respectively.
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https://brainly.com/question/18109692
