Question

Each term of a certain sequence is calculated by adding a particular constant number to the previous term .The 2nd term of this sequence is 27 and the 5th term is 84.What is the 1st term of this sequence ?​

Answer 1

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Let the constant be $x$ and the first term be $a$

So 2nd term and 5th term will be$x+a=27$ Subtract the two equations to get$a+4x=84$

Hence $3x=57\\x=\frac{57}{3}=19$

$a=27-19=8$

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