# Find the explicit formula for the following sequence 3, 7, 11, 15,...

Find the explicit formula for the following sequence 3, 7, 11, 15,...
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lloviznennj
It is an arithemtic progession with first term ${a}_{1}=3$ and ratio r=4
hence the general formula is
${a}_{n}={a}_{1}+\left(n-1\right)\cdot r⇒{a}_{n}=3+\left(n-1\right)\cdot 4=4\cdot n-1$