Answer:
23
Step-by-step explanation:
To solve this question I have used some formula.
1. Formula to find the value of term
x + (term number - 1) × {(greater term number - smaller term number) ÷ (greater term containing value) - (smaller term containing value)}
2. Formula to find the value of x given in 1st formula
x = value containing by term - (term number - 1) × {(value containing by greater term - value containing smaller term) ÷ (6-4)}
Here greater term number means the value containing by the greater term. In this question greater term is 6 which contain a value in it that is 18. So, greater term number in this question is 18. So, smaller term number means the smaller term containing a value in it or the number containing by the greater term.
4th term = 8
To find the value of 7th term first we need to find the value of x.
x = 8 - (4 - 1) × {(18 - 8) ÷ (6 - 4)}
x = 8 - 3 × (10 ÷ 2)
x = 8 - 3 × 5
x = 8 - 15
x = -7
Now, to check whether the value of x is -7, I have find the 4th term by replacing x with -7 in the 1st formula.
= -7 + (4 - 1) × {(18 - 8)} ÷ (6 - 4)
= -7 + 3 × (10 ÷ 2)
= -7 + 3 × 5
= -7 + 15
= <u>8</u>
Answer came 8 and its correct answer. So, the value of x is -7
I have also find the 6th term so you understand it more properly.
6th term = 18
= -7 + (6 - 1) × [{(18 - 8)} ÷ (6 - 4)]
= -7 + 5 × {(10 ÷ 2)}
= -7 + 5 × 5
= -7 + 25
= <u>18</u>
Answer of 6th term is also correct.
I think now you know how to find the 7th term.
7th term = -7 + (7 - 1) × {(18 - 8) ÷ (6 - 4)
= -7 + 6 × (10 ÷ 2)
= -7 + 6 × 5
= -7 + 30
= <u>23</u>
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