Summation and production using hold

Question

Let's take a sum and an example production

$z_{1}=\sum_{k=1}^{3}(k!+(k+1)!)$

and

$z_{2}=\prod_{k=1}^{3}(k!+(k+1)!)$

I wish to get in z1

a result like that

$z_{1} =(1! +(1+1)!)+ (2!+(2+1)!)+(3!+(3+1)!)$

likewise for z2 such a result

$z_{2} =(1! +(1+1)!)(2!+(2+1)!)(3!+(3+1)!)$

I used different variations of Hold but could not come up with anything help me a little.

Answer 1

Inactivate[Sum[Factorial[k] + Factorial[1 + k], {k, 1, 3}], Factorial|Plus]

(1! + (1 + 1)!) + (2! + (1 + 2)!) + (3! + (1 + 3)!)

Inactivate[Product[Factorial[k] + Factorial[1 + k], {k, 1, 3}], Factorial|Plus]

(1!+ (1 + 1)!) (2! + (1 +2 )!) (3! + (1 + 3)!)