Answer :
Answer:
110
Step-by-step explanation:
Given sequence: 355,348,341,.....
Now, finding the 36th term of the sequence.
∴ we know the formula for sequence is [tex]T_n= a+(n-1)d[/tex]
Where a is the first term, n is the nth term which we need to find and d is the difference between two adjacent term.
∴ a= 355
n= 36
d= [tex]348-355= -7[/tex]
Next, substituting the value in the formula
[tex]T_3_6= 355+(36-1)\times -7[/tex]
⇒ [tex]T_3_6= 355+(35)\times -7[/tex]
Opening the parenthesis
⇒[tex]T_3_6= 355+ 35\times -7= 355-245[/tex]
∴ [tex]T_3_6= 110[/tex]
∴ 36th term of the sequence is 110.