A new proof for a nonterminating "strange" hypergeometric evaluation of Gasper and Rahman

An elementary proof is given for a nonterminating “strange” cubic ${}_7{F}_6$-series summation formula of Gasper and Rahman, through the modified Abel lemma on summation by parts. As a byproduct, an interesting nonterminating ${}_3{F}_2(3\mathrm{/}4)$-series identity conjectured by Gosper, is also rederived.