code: def test_gosper_term():
      assert gosper_term(
          (4 * k + 1) * factorial(k) / factorial(2 * k + 1), k
      ) == (-k - S.Half) / (k + Rational(1, 4))
  
imports: from sympy.core.numbers import Rational, pi
  from sympy.core.singleton import S
  from sympy.core.symbol import Symbol
  from sympy.functions.combinatorial.factorials import binomial, factorial
  from sympy.functions.elementary.exponential import exp, log
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.special.gamma_functions import gamma
  from sympy.polys.polytools import Poly
  from sympy.simplify.simplify import simplify
  from sympy.concrete.gosper import gosper_normal, gosper_sum, gosper_term
  from sympy.abc import a, b, j, k, m, n, r, x
label_desc: Use image node_id 2 for calling a global function with example usage: test_gosper_term() without return types