The first term of a g.p is 7 while the common ratio is 5.find the 11th term.
To find the 11th term of a geometric progression (g.p) with the first term (a) of 7 and a common ratio (r) of 5, you can use the formula:
nth term = a * r^(n-1)
In this case, the nth term is the 11th term, so n = 11.
1. Substitute the values into the formula:
nth term = 7 * 5^(11-1)
2. Evaluate the exponent:
nth term = 7 * 5^10
3. Calculate the value of 5^10:
5^10 = 9,765,625
4. Multiply the first term by the calculated value:
nth term = 7 * 9,765,625
5. Evaluate the product:
nth term ≈ 68,359,375
Therefore, the 11th term of the given geometric progression is approximately 68,359,375.