若数列\(\{a_{n}\}\)为等差数列，数列\(\{b_{n}\}\)为等比数列，则下列说法中正确的个数有\((\quad)\)
①\(\{a_{n}+λa_{n+2}\}(λ\in R)\)为等差数列；
②\(\{b_{n}\boldsymbol{⋅}b_{n+1}\}\)为等比数列；
③\(\{b_{a_{n}}\}\)为等比数列；
④\(\{a_{b_{n}}\}\)为等差数列；
⑤\(\{b_{n}+b_{n+2}\}\)为等比数列．