In The Sequence 0.07,0.12,0.17 What Term Has A Value Of 1.67

In the sequence 0.07,0.12,0.17 what term has a value of 1.67

 

Answer:

33rd term

Step-by-step explanation:

The unknown here is the nth term. The first term is 0.07 and the common difference is 0.05. The last term is 1.67. By these given, we have,

1.67=0.07+(n-1)(0.05)

Then multiply n-1 and 0.05, we have:

1.67=0.07+0.05n-0.05

Combine similar terms,we have:

1.67=0.02+0.05n

Regroup similar terms, leaving the unknown to the right side of the equation:

1.67-0.02=0.05n

1.65=0.05n

And finally, divide both sides by 0.05:

n=33

Therefore, 1.67 is the 33rd term of the sequence.

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